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- La ecuación:
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Ecuación x^3-x^2-x-1=0
-
Ecuación 3x-2(3x+4)=10
-
Ecuación 12-4(x-3)=39-9x
-
Ecuación 0,2x+2,7=1,4-1,1x
- Expresar {x} en función de y en la ecuación:
- -11*x-3*y=14
- 2*x-15*y=-1
- -18*x-6*y=-1
- 6*x+9*y=-9
-
Expresiones idénticas
- (-8xxx+ dos cuatro x)*(-x^ seis - seis *x^ cuatro + treinta *x*x)+(x^4- seis *x^2+ diez)(- seis *x^ cinco - veinticuatro *x^ tres + sesenta *x)= cero = cero
- ( menos 8xxx más 24x) multiplicar por ( menos x en el grado 6 menos 6 multiplicar por x en el grado 4 más 30 multiplicar por x multiplicar por x) más (x en el grado 4 menos 6 multiplicar por x al cuadrado más 10)( menos 6 multiplicar por x en el grado 5 menos 24 multiplicar por x al cubo más 60 multiplicar por x) es igual a 0 es igual a 0
- ( menos 8xxx más dos cuatro x) multiplicar por ( menos x en el grado seis menos seis multiplicar por x en el grado cuatro más treinta multiplicar por x multiplicar por x) más (x en el grado 4 menos seis multiplicar por x al cuadrado más diez)( menos seis multiplicar por x en el grado cinco menos veinticuatro multiplicar por x en el grado tres más sesenta multiplicar por x) es igual a cero es igual a cero
- (-8xxx+24x)*(-x6-6*x4+30*x*x)+(x4-6*x2+10)(-6*x5-24*x3+60*x)=0=0
- -8xxx+24x*-x6-6*x4+30*x*x+x4-6*x2+10-6*x5-24*x3+60*x=0=0
- (-8xxx+24x)*(-x⁶-6*x⁴+30*x*x)+(x⁴-6*x²+10)(-6*x⁵-24*x³+60*x)=0=0
- (-8xxx+24x)*(-x en el grado 6-6*x en el grado 4+30*x*x)+(x en el grado 4-6*x en el grado 2+10)(-6*x en el grado 5-24*x en el grado 3+60*x)=0=0
- (-8xxx+24x)(-x^6-6x^4+30xx)+(x^4-6x^2+10)(-6x^5-24x^3+60x)=0=0
- (-8xxx+24x)(-x6-6x4+30xx)+(x4-6x2+10)(-6x5-24x3+60x)=0=0
- -8xxx+24x-x6-6x4+30xx+x4-6x2+10-6x5-24x3+60x=0=0
- -8xxx+24x-x^6-6x^4+30xx+x^4-6x^2+10-6x^5-24x^3+60x=0=0
- (-8xxx+24x)*(-x^6-6*x^4+30*x*x)+(x^4-6*x^2+10)(-6*x^5-24*x^3+60*x)=O=O
-
Expresiones semejantes
- (-8xxx+24x)*(x^6-6*x^4+30*x*x)+(x^4-6*x^2+10)(-6*x^5-24*x^3+60*x)=0=0
- (-8xxx+24x)*(-x^6-6*x^4+30*x*x)+(x^4-6*x^2+10)(-6*x^5-24*x^3-60*x)=0=0
- (8xxx+24x)*(-x^6-6*x^4+30*x*x)+(x^4-6*x^2+10)(-6*x^5-24*x^3+60*x)=0=0
- (-8xxx+24x)*(-x^6-6*x^4+30*x*x)-(x^4-6*x^2+10)(-6*x^5-24*x^3+60*x)=0=0
- (-8xxx+24x)*(-x^6-6*x^4+30*x*x)+(x^4-6*x^2+10)(6*x^5-24*x^3+60*x)=0=0
- (-8xxx+24x)*(-x^6-6*x^4+30*x*x)+(x^4-6*x^2+10)(-6*x^5+24*x^3+60*x)=0=0
- (-8xxx+24x)*(-x^6-6*x^4+30*x*x)+(x^4-6*x^2-10)(-6*x^5-24*x^3+60*x)=0=0
- (-8xxx+24x)*(-x^6-6*x^4-30*x*x)+(x^4-6*x^2+10)(-6*x^5-24*x^3+60*x)=0=0
- (-8xxx+24x)*(-x^6+6*x^4+30*x*x)+(x^4-6*x^2+10)(-6*x^5-24*x^3+60*x)=0=0
- (-8xxx+24x)*(-x^6-6*x^4+30*x*x)+(x^4+6*x^2+10)(-6*x^5-24*x^3+60*x)=0=0
- (-8xxx-24x)*(-x^6-6*x^4+30*x*x)+(x^4-6*x^2+10)(-6*x^5-24*x^3+60*x)=0=0
(-8xxx+24x)*(-x^6-6*x^4+30*x*x)+(x^4-6*x^2+10)(-6*x^5-24*x^3+60*x)=0=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
/ 6 4 \ / 4 2 \ / 5 3 \ (-8*x*x*x + 24*x)*\- x - 6*x + 30*x*x/ + \x - 6*x + 10/*\- 6*x - 24*x + 60*x/ = 0
$$\left(60 x + \left(- 6 x^{5} - 24 x^{3}\right)\right) \left(\left(x^{4} - 6 x^{2}\right) + 10\right) + \left(x 30 x + \left(- x^{6} - 6 x^{4}\right)\right) \left(x - 8 x x + 24 x\right) = 0$$
Respuesta rápida
[src]
x1 = 0
$$x_{1} = 0$$
____________________________________________________________________________________________________________________________________________________________________
/ ________________________________________________________________________________________
/ / / / ________\\
/ / | |\/ 199210 ||
/ / |atan|----------||
/ ___ / 1869 _____ | \ 700 /|
/ \/ 2 * / 161 - ---------------------------------------------- - 2*\/ 410 *cos|----------------|
/ _______________________________________ / _______________________________________ \ 3 /
/ / / / ________\\ / / / / ________\\
/ / | |\/ 199210 || / / | |\/ 199210 ||
/ / |atan|----------|| / / |atan|----------||
/ / _____ | \ 700 /| / / _____ | \ 700 /|
/ / 161 + 4*\/ 410 *cos|----------------| / / 161 + 4*\/ 410 *cos|----------------|
/ 9 \/ \ 3 / \/ \/ \ 3 /
x2 = - / - - + ---------------------------------------------- - -----------------------------------------------------------------------------------------------------------
\/ 2 2 2
$$x_{2} = - \sqrt{- \frac{9}{2} - \frac{\sqrt{2} \sqrt{- \frac{1869}{\sqrt{4 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}} - 2 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}}{2} + \frac{\sqrt{4 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}}{2}}$$
____________________________________________________________________________________________________________________________________________________________________
/ ________________________________________________________________________________________
/ / / / ________\\
/ / | |\/ 199210 ||
/ / |atan|----------||
/ ___ / 1869 _____ | \ 700 /|
/ \/ 2 * / 161 - ---------------------------------------------- - 2*\/ 410 *cos|----------------|
/ _______________________________________ / _______________________________________ \ 3 /
/ / / / ________\\ / / / / ________\\
/ / | |\/ 199210 || / / | |\/ 199210 ||
/ / |atan|----------|| / / |atan|----------||
/ / _____ | \ 700 /| / / _____ | \ 700 /|
/ / 161 + 4*\/ 410 *cos|----------------| / / 161 + 4*\/ 410 *cos|----------------|
/ 9 \/ \ 3 / \/ \/ \ 3 /
x3 = / - - + ---------------------------------------------- - -----------------------------------------------------------------------------------------------------------
\/ 2 2 2
$$x_{3} = \sqrt{- \frac{9}{2} - \frac{\sqrt{2} \sqrt{- \frac{1869}{\sqrt{4 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}} - 2 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}}{2} + \frac{\sqrt{4 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}}{2}}$$
____________________________________________________________________________________________________________________________________________________________________
/ ________________________________________________________________________________________
/ / / / ________\\
/ / | |\/ 199210 ||
/ / |atan|----------||
/ ___ / 1869 _____ | \ 700 /|
/ \/ 2 * / 161 - ---------------------------------------------- - 2*\/ 410 *cos|----------------|
/ _______________________________________ / _______________________________________ \ 3 /
/ / / / ________\\ / / / / ________\\
/ / | |\/ 199210 || / / | |\/ 199210 ||
/ / |atan|----------|| / / |atan|----------||
/ / _____ | \ 700 /| / / _____ | \ 700 /|
/ / 161 + 4*\/ 410 *cos|----------------| / / 161 + 4*\/ 410 *cos|----------------|
/ 9 \/ \ 3 / \/ \/ \ 3 /
x4 = - / - - + ---------------------------------------------- + -----------------------------------------------------------------------------------------------------------
\/ 2 2 2
$$x_{4} = - \sqrt{- \frac{9}{2} + \frac{\sqrt{2} \sqrt{- \frac{1869}{\sqrt{4 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}} - 2 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}}{2} + \frac{\sqrt{4 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}}{2}}$$
____________________________________________________________________________________________________________________________________________________________________
/ ________________________________________________________________________________________
/ / / / ________\\
/ / | |\/ 199210 ||
/ / |atan|----------||
/ ___ / 1869 _____ | \ 700 /|
/ \/ 2 * / 161 - ---------------------------------------------- - 2*\/ 410 *cos|----------------|
/ _______________________________________ / _______________________________________ \ 3 /
/ / / / ________\\ / / / / ________\\
/ / | |\/ 199210 || / / | |\/ 199210 ||
/ / |atan|----------|| / / |atan|----------||
/ / _____ | \ 700 /| / / _____ | \ 700 /|
/ / 161 + 4*\/ 410 *cos|----------------| / / 161 + 4*\/ 410 *cos|----------------|
/ 9 \/ \ 3 / \/ \/ \ 3 /
x5 = / - - + ---------------------------------------------- + -----------------------------------------------------------------------------------------------------------
\/ 2 2 2
$$x_{5} = \sqrt{- \frac{9}{2} + \frac{\sqrt{2} \sqrt{- \frac{1869}{\sqrt{4 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}} - 2 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}}{2} + \frac{\sqrt{4 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}}{2}}$$
__________________________________________________________________________________________________________________________________________________________________
/ ________________________________________________________________________________________
/ / / / ________\\
/ / | |\/ 199210 ||
/ / |atan|----------||
/ ___ / 1869 _____ | \ 700 /|
/ \/ 2 * / 161 + ---------------------------------------------- - 2*\/ 410 *cos|----------------|
/ _______________________________________ / _______________________________________ \ 3 /
/ / / / ________\\ / / / / ________\\
/ / | |\/ 199210 || / / | |\/ 199210 ||
/ / |atan|----------|| / / |atan|----------||
/ / _____ | \ 700 /| / / _____ | \ 700 /|
/ / 161 + 4*\/ 410 *cos|----------------| / / 161 + 4*\/ 410 *cos|----------------|
/ 9 \/ \ 3 / \/ \/ \ 3 /
x6 = -I* / - + ---------------------------------------------- + -----------------------------------------------------------------------------------------------------------
\/ 2 2 2
$$x_{6} = - i \sqrt{\frac{9}{2} + \frac{\sqrt{4 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}}{2} + \frac{\sqrt{2} \sqrt{- 2 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + \frac{1869}{\sqrt{4 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}} + 161}}{2}}$$
__________________________________________________________________________________________________________________________________________________________________
/ ________________________________________________________________________________________
/ / / / ________\\
/ / | |\/ 199210 ||
/ / |atan|----------||
/ ___ / 1869 _____ | \ 700 /|
/ \/ 2 * / 161 + ---------------------------------------------- - 2*\/ 410 *cos|----------------|
/ _______________________________________ / _______________________________________ \ 3 /
/ / / / ________\\ / / / / ________\\
/ / | |\/ 199210 || / / | |\/ 199210 ||
/ / |atan|----------|| / / |atan|----------||
/ / _____ | \ 700 /| / / _____ | \ 700 /|
/ / 161 + 4*\/ 410 *cos|----------------| / / 161 + 4*\/ 410 *cos|----------------|
/ 9 \/ \ 3 / \/ \/ \ 3 /
x7 = I* / - + ---------------------------------------------- + -----------------------------------------------------------------------------------------------------------
\/ 2 2 2
$$x_{7} = i \sqrt{\frac{9}{2} + \frac{\sqrt{4 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}}{2} + \frac{\sqrt{2} \sqrt{- 2 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + \frac{1869}{\sqrt{4 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}} + 161}}{2}}$$
__________________________________________________________________________________________________________________________________________________________________
/ ________________________________________________________________________________________
/ / / / ________\\
/ / | |\/ 199210 ||
/ / |atan|----------||
/ ___ / 1869 _____ | \ 700 /|
/ \/ 2 * / 161 + ---------------------------------------------- - 2*\/ 410 *cos|----------------|
/ _______________________________________ / _______________________________________ \ 3 /
/ / / / ________\\ / / / / ________\\
/ / | |\/ 199210 || / / | |\/ 199210 ||
/ / |atan|----------|| / / |atan|----------||
/ / _____ | \ 700 /| / / _____ | \ 700 /|
/ / 161 + 4*\/ 410 *cos|----------------| / / 161 + 4*\/ 410 *cos|----------------|
/ 9 \/ \ 3 / \/ \/ \ 3 /
x8 = -I* / - + ---------------------------------------------- - -----------------------------------------------------------------------------------------------------------
\/ 2 2 2
$$x_{8} = - i \sqrt{- \frac{\sqrt{2} \sqrt{- 2 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + \frac{1869}{\sqrt{4 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}} + 161}}{2} + \frac{9}{2} + \frac{\sqrt{4 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}}{2}}$$
__________________________________________________________________________________________________________________________________________________________________
/ ________________________________________________________________________________________
/ / / / ________\\
/ / | |\/ 199210 ||
/ / |atan|----------||
/ ___ / 1869 _____ | \ 700 /|
/ \/ 2 * / 161 + ---------------------------------------------- - 2*\/ 410 *cos|----------------|
/ _______________________________________ / _______________________________________ \ 3 /
/ / / / ________\\ / / / / ________\\
/ / | |\/ 199210 || / / | |\/ 199210 ||
/ / |atan|----------|| / / |atan|----------||
/ / _____ | \ 700 /| / / _____ | \ 700 /|
/ / 161 + 4*\/ 410 *cos|----------------| / / 161 + 4*\/ 410 *cos|----------------|
/ 9 \/ \ 3 / \/ \/ \ 3 /
x9 = I* / - + ---------------------------------------------- - -----------------------------------------------------------------------------------------------------------
\/ 2 2 2
$$x_{9} = i \sqrt{- \frac{\sqrt{2} \sqrt{- 2 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + \frac{1869}{\sqrt{4 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}} + 161}}{2} + \frac{9}{2} + \frac{\sqrt{4 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}}{2}}$$
x9 = i*sqrt(-sqrt(2)*sqrt(-2*sqrt(410)*cos(atan(sqrt(199210)/700)/3) + 1869/sqrt(4*sqrt(410)*cos(atan(sqrt(199210)/700)/3) + 161) + 161)/2 + 9/2 + sqrt(4*sqrt(410)*cos(atan(sqrt(199210)/700)/3) + 161)/2)
Suma y producto de raíces
[src]
suma
____________________________________________________________________________________________________________________________________________________________________ ____________________________________________________________________________________________________________________________________________________________________ ____________________________________________________________________________________________________________________________________________________________________ ____________________________________________________________________________________________________________________________________________________________________ __________________________________________________________________________________________________________________________________________________________________ __________________________________________________________________________________________________________________________________________________________________ __________________________________________________________________________________________________________________________________________________________________ __________________________________________________________________________________________________________________________________________________________________
/ ________________________________________________________________________________________ / ________________________________________________________________________________________ / ________________________________________________________________________________________ / ________________________________________________________________________________________ / ________________________________________________________________________________________ / ________________________________________________________________________________________ / ________________________________________________________________________________________ / ________________________________________________________________________________________
/ / / / ________\\ / / / / ________\\ / / / / ________\\ / / / / ________\\ / / / / ________\\ / / / / ________\\ / / / / ________\\ / / / / ________\\
/ / | |\/ 199210 || / / | |\/ 199210 || / / | |\/ 199210 || / / | |\/ 199210 || / / | |\/ 199210 || / / | |\/ 199210 || / / | |\/ 199210 || / / | |\/ 199210 ||
/ / |atan|----------|| / / |atan|----------|| / / |atan|----------|| / / |atan|----------|| / / |atan|----------|| / / |atan|----------|| / / |atan|----------|| / / |atan|----------||
/ ___ / 1869 _____ | \ 700 /| / ___ / 1869 _____ | \ 700 /| / ___ / 1869 _____ | \ 700 /| / ___ / 1869 _____ | \ 700 /| / ___ / 1869 _____ | \ 700 /| / ___ / 1869 _____ | \ 700 /| / ___ / 1869 _____ | \ 700 /| / ___ / 1869 _____ | \ 700 /|
/ \/ 2 * / 161 - ---------------------------------------------- - 2*\/ 410 *cos|----------------| / \/ 2 * / 161 - ---------------------------------------------- - 2*\/ 410 *cos|----------------| / \/ 2 * / 161 - ---------------------------------------------- - 2*\/ 410 *cos|----------------| / \/ 2 * / 161 - ---------------------------------------------- - 2*\/ 410 *cos|----------------| / \/ 2 * / 161 + ---------------------------------------------- - 2*\/ 410 *cos|----------------| / \/ 2 * / 161 + ---------------------------------------------- - 2*\/ 410 *cos|----------------| / \/ 2 * / 161 + ---------------------------------------------- - 2*\/ 410 *cos|----------------| / \/ 2 * / 161 + ---------------------------------------------- - 2*\/ 410 *cos|----------------|
/ _______________________________________ / _______________________________________ \ 3 / / _______________________________________ / _______________________________________ \ 3 / / _______________________________________ / _______________________________________ \ 3 / / _______________________________________ / _______________________________________ \ 3 / / _______________________________________ / _______________________________________ \ 3 / / _______________________________________ / _______________________________________ \ 3 / / _______________________________________ / _______________________________________ \ 3 / / _______________________________________ / _______________________________________ \ 3 /
/ / / / ________\\ / / / / ________\\ / / / / ________\\ / / / / ________\\ / / / / ________\\ / / / / ________\\ / / / / ________\\ / / / / ________\\ / / / / ________\\ / / / / ________\\ / / / / ________\\ / / / / ________\\ / / / / ________\\ / / / / ________\\ / / / / ________\\ / / / / ________\\
/ / | |\/ 199210 || / / | |\/ 199210 || / / | |\/ 199210 || / / | |\/ 199210 || / / | |\/ 199210 || / / | |\/ 199210 || / / | |\/ 199210 || / / | |\/ 199210 || / / | |\/ 199210 || / / | |\/ 199210 || / / | |\/ 199210 || / / | |\/ 199210 || / / | |\/ 199210 || / / | |\/ 199210 || / / | |\/ 199210 || / / | |\/ 199210 ||
/ / |atan|----------|| / / |atan|----------|| / / |atan|----------|| / / |atan|----------|| / / |atan|----------|| / / |atan|----------|| / / |atan|----------|| / / |atan|----------|| / / |atan|----------|| / / |atan|----------|| / / |atan|----------|| / / |atan|----------|| / / |atan|----------|| / / |atan|----------|| / / |atan|----------|| / / |atan|----------||
/ / _____ | \ 700 /| / / _____ | \ 700 /| / / _____ | \ 700 /| / / _____ | \ 700 /| / / _____ | \ 700 /| / / _____ | \ 700 /| / / _____ | \ 700 /| / / _____ | \ 700 /| / / _____ | \ 700 /| / / _____ | \ 700 /| / / _____ | \ 700 /| / / _____ | \ 700 /| / / _____ | \ 700 /| / / _____ | \ 700 /| / / _____ | \ 700 /| / / _____ | \ 700 /|
/ / 161 + 4*\/ 410 *cos|----------------| / / 161 + 4*\/ 410 *cos|----------------| / / 161 + 4*\/ 410 *cos|----------------| / / 161 + 4*\/ 410 *cos|----------------| / / 161 + 4*\/ 410 *cos|----------------| / / 161 + 4*\/ 410 *cos|----------------| / / 161 + 4*\/ 410 *cos|----------------| / / 161 + 4*\/ 410 *cos|----------------| / / 161 + 4*\/ 410 *cos|----------------| / / 161 + 4*\/ 410 *cos|----------------| / / 161 + 4*\/ 410 *cos|----------------| / / 161 + 4*\/ 410 *cos|----------------| / / 161 + 4*\/ 410 *cos|----------------| / / 161 + 4*\/ 410 *cos|----------------| / / 161 + 4*\/ 410 *cos|----------------| / / 161 + 4*\/ 410 *cos|----------------|
/ 9 \/ \ 3 / \/ \/ \ 3 / / 9 \/ \ 3 / \/ \/ \ 3 / / 9 \/ \ 3 / \/ \/ \ 3 / / 9 \/ \ 3 / \/ \/ \ 3 / / 9 \/ \ 3 / \/ \/ \ 3 / / 9 \/ \ 3 / \/ \/ \ 3 / / 9 \/ \ 3 / \/ \/ \ 3 / / 9 \/ \ 3 / \/ \/ \ 3 /
- / - - + ---------------------------------------------- - ----------------------------------------------------------------------------------------------------------- + / - - + ---------------------------------------------- - ----------------------------------------------------------------------------------------------------------- - / - - + ---------------------------------------------- + ----------------------------------------------------------------------------------------------------------- + / - - + ---------------------------------------------- + ----------------------------------------------------------------------------------------------------------- - I* / - + ---------------------------------------------- + ----------------------------------------------------------------------------------------------------------- + I* / - + ---------------------------------------------- + ----------------------------------------------------------------------------------------------------------- - I* / - + ---------------------------------------------- - ----------------------------------------------------------------------------------------------------------- + I* / - + ---------------------------------------------- - -----------------------------------------------------------------------------------------------------------
\/ 2 2 2 \/ 2 2 2 \/ 2 2 2 \/ 2 2 2 \/ 2 2 2 \/ 2 2 2 \/ 2 2 2 \/ 2 2 2
$$\left(- i \sqrt{- \frac{\sqrt{2} \sqrt{- 2 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + \frac{1869}{\sqrt{4 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}} + 161}}{2} + \frac{9}{2} + \frac{\sqrt{4 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}}{2}} + \left(\left(\left(\left(- \sqrt{- \frac{9}{2} + \frac{\sqrt{2} \sqrt{- \frac{1869}{\sqrt{4 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}} - 2 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}}{2} + \frac{\sqrt{4 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}}{2}} + \left(- \sqrt{- \frac{9}{2} - \frac{\sqrt{2} \sqrt{- \frac{1869}{\sqrt{4 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}} - 2 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}}{2} + \frac{\sqrt{4 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}}{2}} + \sqrt{- \frac{9}{2} - \frac{\sqrt{2} \sqrt{- \frac{1869}{\sqrt{4 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}} - 2 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}}{2} + \frac{\sqrt{4 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}}{2}}\right)\right) + \sqrt{- \frac{9}{2} + \frac{\sqrt{2} \sqrt{- \frac{1869}{\sqrt{4 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}} - 2 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}}{2} + \frac{\sqrt{4 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}}{2}}\right) - i \sqrt{\frac{9}{2} + \frac{\sqrt{4 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}}{2} + \frac{\sqrt{2} \sqrt{- 2 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + \frac{1869}{\sqrt{4 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}} + 161}}{2}}\right) + i \sqrt{\frac{9}{2} + \frac{\sqrt{4 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}}{2} + \frac{\sqrt{2} \sqrt{- 2 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + \frac{1869}{\sqrt{4 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}} + 161}}{2}}\right)\right) + i \sqrt{- \frac{\sqrt{2} \sqrt{- 2 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + \frac{1869}{\sqrt{4 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}} + 161}}{2} + \frac{9}{2} + \frac{\sqrt{4 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}}{2}}$$
=
0
$$0$$
producto
/ ____________________________________________________________________________________________________________________________________________________________________\ ____________________________________________________________________________________________________________________________________________________________________ / ____________________________________________________________________________________________________________________________________________________________________\ ____________________________________________________________________________________________________________________________________________________________________ / __________________________________________________________________________________________________________________________________________________________________\ __________________________________________________________________________________________________________________________________________________________________ / __________________________________________________________________________________________________________________________________________________________________\ __________________________________________________________________________________________________________________________________________________________________ | / ________________________________________________________________________________________ | / ________________________________________________________________________________________ | / ________________________________________________________________________________________ | / ________________________________________________________________________________________ | / ________________________________________________________________________________________ | / ________________________________________________________________________________________ | / ________________________________________________________________________________________ | / ________________________________________________________________________________________ | / / / / ________\\ | / / / / ________\\ | / / / / ________\\ | / / / / ________\\ | / / / / ________\\ | / / / / ________\\ | / / / / ________\\ | / / / / ________\\ | / / | |\/ 199210 || | / / | |\/ 199210 || | / / | |\/ 199210 || | / / | |\/ 199210 || | / / | |\/ 199210 || | / / | |\/ 199210 || | / / | |\/ 199210 || | / / | |\/ 199210 || | / / |atan|----------|| | / / |atan|----------|| | / / |atan|----------|| | / / |atan|----------|| | / / |atan|----------|| | / / |atan|----------|| | / / |atan|----------|| | / / |atan|----------|| | / ___ / 1869 _____ | \ 700 /| | / ___ / 1869 _____ | \ 700 /| | / ___ / 1869 _____ | \ 700 /| | / ___ / 1869 _____ | \ 700 /| | / ___ / 1869 _____ | \ 700 /| | / ___ / 1869 _____ | \ 700 /| | / ___ / 1869 _____ | \ 700 /| | / ___ / 1869 _____ | \ 700 /| | / \/ 2 * / 161 - ---------------------------------------------- - 2*\/ 410 *cos|----------------| | / \/ 2 * / 161 - ---------------------------------------------- - 2*\/ 410 *cos|----------------| | / \/ 2 * / 161 - ---------------------------------------------- - 2*\/ 410 *cos|----------------| | / \/ 2 * / 161 - ---------------------------------------------- - 2*\/ 410 *cos|----------------| | / \/ 2 * / 161 + ---------------------------------------------- - 2*\/ 410 *cos|----------------| | / \/ 2 * / 161 + ---------------------------------------------- - 2*\/ 410 *cos|----------------| | / \/ 2 * / 161 + ---------------------------------------------- - 2*\/ 410 *cos|----------------| | / \/ 2 * / 161 + ---------------------------------------------- - 2*\/ 410 *cos|----------------| | / _______________________________________ / _______________________________________ \ 3 / | / _______________________________________ / _______________________________________ \ 3 / | / _______________________________________ / _______________________________________ \ 3 / | / _______________________________________ / _______________________________________ \ 3 / | / _______________________________________ / _______________________________________ \ 3 / | / _______________________________________ / _______________________________________ \ 3 / | / _______________________________________ / _______________________________________ \ 3 / | / _______________________________________ / _______________________________________ \ 3 / | / / / / ________\\ / / / / ________\\ | / / / / ________\\ / / / / ________\\ | / / / / ________\\ / / / / ________\\ | / / / / ________\\ / / / / ________\\ | / / / / ________\\ / / / / ________\\ | / / / / ________\\ / / / / ________\\ | / / / / ________\\ / / / / ________\\ | / / / / ________\\ / / / / ________\\ | / / | |\/ 199210 || / / | |\/ 199210 || | / / | |\/ 199210 || / / | |\/ 199210 || | / / | |\/ 199210 || / / | |\/ 199210 || | / / | |\/ 199210 || / / | |\/ 199210 || | / / | |\/ 199210 || / / | |\/ 199210 || | / / | |\/ 199210 || / / | |\/ 199210 || | / / | |\/ 199210 || / / | |\/ 199210 || | / / | |\/ 199210 || / / | |\/ 199210 || | / / |atan|----------|| / / |atan|----------|| | / / |atan|----------|| / / |atan|----------|| | / / |atan|----------|| / / |atan|----------|| | / / |atan|----------|| / / |atan|----------|| | / / |atan|----------|| / / |atan|----------|| | / / |atan|----------|| / / |atan|----------|| | / / |atan|----------|| / / |atan|----------|| | / / |atan|----------|| / / |atan|----------|| | / / _____ | \ 700 /| / / _____ | \ 700 /| | / / _____ | \ 700 /| / / _____ | \ 700 /| | / / _____ | \ 700 /| / / _____ | \ 700 /| | / / _____ | \ 700 /| / / _____ | \ 700 /| | / / _____ | \ 700 /| / / _____ | \ 700 /| | / / _____ | \ 700 /| / / _____ | \ 700 /| | / / _____ | \ 700 /| / / _____ | \ 700 /| | / / _____ | \ 700 /| / / _____ | \ 700 /| | / / 161 + 4*\/ 410 *cos|----------------| / / 161 + 4*\/ 410 *cos|----------------| | / / 161 + 4*\/ 410 *cos|----------------| / / 161 + 4*\/ 410 *cos|----------------| | / / 161 + 4*\/ 410 *cos|----------------| / / 161 + 4*\/ 410 *cos|----------------| | / / 161 + 4*\/ 410 *cos|----------------| / / 161 + 4*\/ 410 *cos|----------------| | / / 161 + 4*\/ 410 *cos|----------------| / / 161 + 4*\/ 410 *cos|----------------| | / / 161 + 4*\/ 410 *cos|----------------| / / 161 + 4*\/ 410 *cos|----------------| | / / 161 + 4*\/ 410 *cos|----------------| / / 161 + 4*\/ 410 *cos|----------------| | / / 161 + 4*\/ 410 *cos|----------------| / / 161 + 4*\/ 410 *cos|----------------| | / 9 \/ \ 3 / \/ \/ \ 3 / | / 9 \/ \ 3 / \/ \/ \ 3 / | / 9 \/ \ 3 / \/ \/ \ 3 / | / 9 \/ \ 3 / \/ \/ \ 3 / | / 9 \/ \ 3 / \/ \/ \ 3 / | / 9 \/ \ 3 / \/ \/ \ 3 / | / 9 \/ \ 3 / \/ \/ \ 3 / | / 9 \/ \ 3 / \/ \/ \ 3 / 0*|- / - - + ---------------------------------------------- - ----------------------------------------------------------------------------------------------------------- |* / - - + ---------------------------------------------- - ----------------------------------------------------------------------------------------------------------- *|- / - - + ---------------------------------------------- + ----------------------------------------------------------------------------------------------------------- |* / - - + ---------------------------------------------- + ----------------------------------------------------------------------------------------------------------- *|-I* / - + ---------------------------------------------- + ----------------------------------------------------------------------------------------------------------- |*I* / - + ---------------------------------------------- + ----------------------------------------------------------------------------------------------------------- *|-I* / - + ---------------------------------------------- - ----------------------------------------------------------------------------------------------------------- |*I* / - + ---------------------------------------------- - ----------------------------------------------------------------------------------------------------------- \ \/ 2 2 2 / \/ 2 2 2 \ \/ 2 2 2 / \/ 2 2 2 \ \/ 2 2 2 / \/ 2 2 2 \ \/ 2 2 2 / \/ 2 2 2
$$i \sqrt{- \frac{\sqrt{2} \sqrt{- 2 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + \frac{1869}{\sqrt{4 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}} + 161}}{2} + \frac{9}{2} + \frac{\sqrt{4 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}}{2}} \cdot - i \sqrt{- \frac{\sqrt{2} \sqrt{- 2 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + \frac{1869}{\sqrt{4 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}} + 161}}{2} + \frac{9}{2} + \frac{\sqrt{4 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}}{2}} i \sqrt{\frac{9}{2} + \frac{\sqrt{4 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}}{2} + \frac{\sqrt{2} \sqrt{- 2 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + \frac{1869}{\sqrt{4 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}} + 161}}{2}} \cdot - i \sqrt{\frac{9}{2} + \frac{\sqrt{4 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}}{2} + \frac{\sqrt{2} \sqrt{- 2 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + \frac{1869}{\sqrt{4 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}} + 161}}{2}} \cdot 0 \left(- \sqrt{- \frac{9}{2} - \frac{\sqrt{2} \sqrt{- \frac{1869}{\sqrt{4 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}} - 2 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}}{2} + \frac{\sqrt{4 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}}{2}}\right) \sqrt{- \frac{9}{2} - \frac{\sqrt{2} \sqrt{- \frac{1869}{\sqrt{4 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}} - 2 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}}{2} + \frac{\sqrt{4 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}}{2}} \left(- \sqrt{- \frac{9}{2} + \frac{\sqrt{2} \sqrt{- \frac{1869}{\sqrt{4 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}} - 2 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}}{2} + \frac{\sqrt{4 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}}{2}}\right) \sqrt{- \frac{9}{2} + \frac{\sqrt{2} \sqrt{- \frac{1869}{\sqrt{4 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}} - 2 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}}{2} + \frac{\sqrt{4 \sqrt{410} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{199210}}{700} \right)}}{3} \right)} + 161}}{2}}$$
=
0
$$0$$
0
Respuesta numérica
[src]
x1 = 1.96336399180552
x2 = 1.62936326246329
x3 = -1.62936326246329
x4 = -1.12290354110336*i
x5 = 1.12290354110336*i
x6 = -1.96336399180552
x7 = 4.82169165778579*i
x8 = 0.0
x9 = -4.82169165778579*i
x9 = -4.82169165778579*i