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- La ecuación:
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Ecuación x^4-x^3+5*x^2=0
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Ecuación (x-5)/2=2*(3x/7-1/2)/3
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Ecuación 9-2(-4x+7)=7
-
Ecuación 3*x+5+(x+5)=(1-x)+4
- Expresar {x} en función de y en la ecuación:
- 7*x+13*y=-13
- -14*x-3*y=-5
- -8*x-12*y=15
- -6*x-1*y=14
-
Expresiones idénticas
- ((5x+ uno)/(dos x- tres))^ dos +((tres -2x)/(5x- uno))^2= ochenta y dos / nueve
- ((5x más 1) dividir por (2x menos 3)) al cuadrado más ((3 menos 2x) dividir por (5x menos 1)) al cuadrado es igual a 82 dividir por 9
- ((5x más uno) dividir por (dos x menos tres)) en el grado dos más ((tres menos 2x) dividir por (5x menos uno)) al cuadrado es igual a ochenta y dos dividir por nueve
- ((5x+1)/(2x-3))2+((3-2x)/(5x-1))2=82/9
- 5x+1/2x-32+3-2x/5x-12=82/9
- ((5x+1)/(2x-3))²+((3-2x)/(5x-1))²=82/9
- ((5x+1)/(2x-3)) en el grado 2+((3-2x)/(5x-1)) en el grado 2=82/9
- 5x+1/2x-3^2+3-2x/5x-1^2=82/9
- ((5x+1) dividir por (2x-3))^2+((3-2x) dividir por (5x-1))^2=82 dividir por 9
-
Expresiones semejantes
- ((5x+1)/(2x-3))^2-((3-2x)/(5x-1))^2=82/9
- ((5x+1)/(2x-3))^2+((3+2x)/(5x-1))^2=82/9
- ((5x+1)/(2x-3))^2+((3-2x)/(5x+1))^2=82/9
- ((5x+1)/(2x+3))^2+((3-2x)/(5x-1))^2=82/9
- (5128^2-4530^2)*0,1408^2/(9*10^9)=(9*10^9/(0,1408^2))*x^2+x
- ((5x-1)/(2x-3))^2+((3-2x)/(5x-1))^2=82/9
((5x+1)/(2x-3))^2+((3-2x)/(5x-1))^2=82/9 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2 2 /5*x + 1\ /3 - 2*x\ |-------| + |-------| = 82/9 \2*x - 3/ \5*x - 1/
$$\left(\frac{3 - 2 x}{5 x - 1}\right)^{2} + \left(\frac{5 x + 1}{2 x - 3}\right)^{2} = \frac{82}{9}$$
Respuesta rápida
[src]
x1 = 0
$$x_{1} = 0$$
/ 1 \ / / 1 \ \
48368084*re|------------------------------------------------------| |48368084*im|------------------------------------------------------| / / __________\\ / / __________\\| / / __________\\ / / __________\\
| _________________________________| | | _________________________________| | |5714397*\/ 90473295 || | |5714397*\/ 90473295 ||| | |5714397*\/ 90473295 || | |5714397*\/ 90473295 ||
|/ ___\ / __________ | | |/ ___\ / __________ | |atan|--------------------|| |atan|--------------------||| |atan|--------------------|| |atan|--------------------||
|| 1 I*\/ 3 | / 100941679438 2*I*\/ 90473295 | | || 1 I*\/ 3 | / 100941679438 2*I*\/ 90473295 | ___________ | \ 555179236909 /| ___________ | \ 555179236909 /|| ___________ | \ 555179236909 /| ___________ | \ 555179236909 /|
||- - - -------|*3 / ------------ + ---------------- | | ||- - - -------|*3 / ------------ + ---------------- | \/ 133012231 *sin|--------------------------| \/ 399036693 *cos|--------------------------|| \/ 133012231 *cos|--------------------------| \/ 399036693 *sin|--------------------------|
2456 \\ 2 2 / \/ 3205776717 6171 / | \\ 2 2 / \/ 3205776717 6171 / \ 3 / \ 3 /| \ 3 / \ 3 /
x2 = ---- + ------------------------------------------------------------------- + I*|------------------------------------------------------------------- - --------------------------------------------- - ---------------------------------------------| - --------------------------------------------- + ---------------------------------------------
663 4835259 \ 4835259 7293 7293 / 7293 7293
$$x_{2} = - \frac{\sqrt{133012231} \cos{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293} + \frac{48368084 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{100941679438}{3205776717} + \frac{2 \sqrt{90473295} i}{6171}}}\right)}}{4835259} + \frac{\sqrt{399036693} \sin{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293} + \frac{2456}{663} + i \left(- \frac{\sqrt{399036693} \cos{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293} - \frac{\sqrt{133012231} \sin{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293} + \frac{48368084 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{100941679438}{3205776717} + \frac{2 \sqrt{90473295} i}{6171}}}\right)}}{4835259}\right)$$
/ 1 \ / / 1 \ \
48368084*re|------------------------------------------------------| |48368084*im|------------------------------------------------------| / / __________\\ / / __________\\| / / __________\\ / / __________\\
| _________________________________| | | _________________________________| | |5714397*\/ 90473295 || | |5714397*\/ 90473295 ||| | |5714397*\/ 90473295 || | |5714397*\/ 90473295 ||
|/ ___\ / __________ | | |/ ___\ / __________ | |atan|--------------------|| |atan|--------------------||| |atan|--------------------|| |atan|--------------------||
|| 1 I*\/ 3 | / 100941679438 2*I*\/ 90473295 | | || 1 I*\/ 3 | / 100941679438 2*I*\/ 90473295 | ___________ | \ 555179236909 /| ___________ | \ 555179236909 /|| ___________ | \ 555179236909 /| ___________ | \ 555179236909 /|
||- - + -------|*3 / ------------ + ---------------- | | ||- - + -------|*3 / ------------ + ---------------- | \/ 133012231 *sin|--------------------------| \/ 399036693 *cos|--------------------------|| \/ 133012231 *cos|--------------------------| \/ 399036693 *sin|--------------------------|
2456 \\ 2 2 / \/ 3205776717 6171 / | \\ 2 2 / \/ 3205776717 6171 / \ 3 / \ 3 /| \ 3 / \ 3 /
x3 = ---- + ------------------------------------------------------------------- + I*|------------------------------------------------------------------- - --------------------------------------------- + ---------------------------------------------| - --------------------------------------------- - ---------------------------------------------
663 4835259 \ 4835259 7293 7293 / 7293 7293
$$x_{3} = \frac{48368084 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{100941679438}{3205776717} + \frac{2 \sqrt{90473295} i}{6171}}}\right)}}{4835259} - \frac{\sqrt{133012231} \cos{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293} - \frac{\sqrt{399036693} \sin{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293} + \frac{2456}{663} + i \left(\frac{48368084 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{100941679438}{3205776717} + \frac{2 \sqrt{90473295} i}{6171}}}\right)}}{4835259} - \frac{\sqrt{133012231} \sin{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293} + \frac{\sqrt{399036693} \cos{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293}\right)$$
_________________________________
/ __________
2456 / 100941679438 2*I*\/ 90473295 48368084
x4 = ---- + 3 / ------------ + ---------------- + ----------------------------------------------
663 \/ 3205776717 6171 _________________________________
/ __________
/ 100941679438 2*I*\/ 90473295
4835259*3 / ------------ + ----------------
\/ 3205776717 6171
$$x_{4} = \frac{2456}{663} + \frac{48368084}{4835259 \sqrt[3]{\frac{100941679438}{3205776717} + \frac{2 \sqrt{90473295} i}{6171}}} + \sqrt[3]{\frac{100941679438}{3205776717} + \frac{2 \sqrt{90473295} i}{6171}}$$
x4 = 2456/663 + 48368084/(4835259*(100941679438/3205776717 + 2*sqrt(90473295)*i/6171)^(1/3)) + (100941679438/3205776717 + 2*sqrt(90473295)*i/6171)^(1/3)
Suma y producto de raíces
[src]
suma
/ 1 \ / / 1 \ \ / 1 \ / / 1 \ \
48368084*re|------------------------------------------------------| |48368084*im|------------------------------------------------------| / / __________\\ / / __________\\| / / __________\\ / / __________\\ 48368084*re|------------------------------------------------------| |48368084*im|------------------------------------------------------| / / __________\\ / / __________\\| / / __________\\ / / __________\\
| _________________________________| | | _________________________________| | |5714397*\/ 90473295 || | |5714397*\/ 90473295 ||| | |5714397*\/ 90473295 || | |5714397*\/ 90473295 || | _________________________________| | | _________________________________| | |5714397*\/ 90473295 || | |5714397*\/ 90473295 ||| | |5714397*\/ 90473295 || | |5714397*\/ 90473295 ||
|/ ___\ / __________ | | |/ ___\ / __________ | |atan|--------------------|| |atan|--------------------||| |atan|--------------------|| |atan|--------------------|| |/ ___\ / __________ | | |/ ___\ / __________ | |atan|--------------------|| |atan|--------------------||| |atan|--------------------|| |atan|--------------------||
|| 1 I*\/ 3 | / 100941679438 2*I*\/ 90473295 | | || 1 I*\/ 3 | / 100941679438 2*I*\/ 90473295 | ___________ | \ 555179236909 /| ___________ | \ 555179236909 /|| ___________ | \ 555179236909 /| ___________ | \ 555179236909 /| || 1 I*\/ 3 | / 100941679438 2*I*\/ 90473295 | | || 1 I*\/ 3 | / 100941679438 2*I*\/ 90473295 | ___________ | \ 555179236909 /| ___________ | \ 555179236909 /|| ___________ | \ 555179236909 /| ___________ | \ 555179236909 /| _________________________________
||- - - -------|*3 / ------------ + ---------------- | | ||- - - -------|*3 / ------------ + ---------------- | \/ 133012231 *sin|--------------------------| \/ 399036693 *cos|--------------------------|| \/ 133012231 *cos|--------------------------| \/ 399036693 *sin|--------------------------| ||- - + -------|*3 / ------------ + ---------------- | | ||- - + -------|*3 / ------------ + ---------------- | \/ 133012231 *sin|--------------------------| \/ 399036693 *cos|--------------------------|| \/ 133012231 *cos|--------------------------| \/ 399036693 *sin|--------------------------| / __________
2456 \\ 2 2 / \/ 3205776717 6171 / | \\ 2 2 / \/ 3205776717 6171 / \ 3 / \ 3 /| \ 3 / \ 3 / 2456 \\ 2 2 / \/ 3205776717 6171 / | \\ 2 2 / \/ 3205776717 6171 / \ 3 / \ 3 /| \ 3 / \ 3 / 2456 / 100941679438 2*I*\/ 90473295 48368084
---- + ------------------------------------------------------------------- + I*|------------------------------------------------------------------- - --------------------------------------------- - ---------------------------------------------| - --------------------------------------------- + --------------------------------------------- + ---- + ------------------------------------------------------------------- + I*|------------------------------------------------------------------- - --------------------------------------------- + ---------------------------------------------| - --------------------------------------------- - --------------------------------------------- + ---- + 3 / ------------ + ---------------- + ----------------------------------------------
663 4835259 \ 4835259 7293 7293 / 7293 7293 663 4835259 \ 4835259 7293 7293 / 7293 7293 663 \/ 3205776717 6171 _________________________________
/ __________
/ 100941679438 2*I*\/ 90473295
4835259*3 / ------------ + ----------------
\/ 3205776717 6171
$$\left(\frac{2456}{663} + \frac{48368084}{4835259 \sqrt[3]{\frac{100941679438}{3205776717} + \frac{2 \sqrt{90473295} i}{6171}}} + \sqrt[3]{\frac{100941679438}{3205776717} + \frac{2 \sqrt{90473295} i}{6171}}\right) + \left(\left(\frac{48368084 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{100941679438}{3205776717} + \frac{2 \sqrt{90473295} i}{6171}}}\right)}}{4835259} - \frac{\sqrt{133012231} \cos{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293} - \frac{\sqrt{399036693} \sin{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293} + \frac{2456}{663} + i \left(\frac{48368084 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{100941679438}{3205776717} + \frac{2 \sqrt{90473295} i}{6171}}}\right)}}{4835259} - \frac{\sqrt{133012231} \sin{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293} + \frac{\sqrt{399036693} \cos{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293}\right)\right) + \left(- \frac{\sqrt{133012231} \cos{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293} + \frac{48368084 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{100941679438}{3205776717} + \frac{2 \sqrt{90473295} i}{6171}}}\right)}}{4835259} + \frac{\sqrt{399036693} \sin{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293} + \frac{2456}{663} + i \left(- \frac{\sqrt{399036693} \cos{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293} - \frac{\sqrt{133012231} \sin{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293} + \frac{48368084 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{100941679438}{3205776717} + \frac{2 \sqrt{90473295} i}{6171}}}\right)}}{4835259}\right)\right)\right)$$
=
/ 1 \ / 1 \ / / 1 \ \ / / 1 \ \
48368084*re|------------------------------------------------------| 48368084*re|------------------------------------------------------| |48368084*im|------------------------------------------------------| / / __________\\ / / __________\\| |48368084*im|------------------------------------------------------| / / __________\\ / / __________\\| / / __________\\
| _________________________________| | _________________________________| | | _________________________________| | |5714397*\/ 90473295 || | |5714397*\/ 90473295 ||| | | _________________________________| | |5714397*\/ 90473295 || | |5714397*\/ 90473295 ||| | |5714397*\/ 90473295 ||
|/ ___\ / __________ | |/ ___\ / __________ | | |/ ___\ / __________ | |atan|--------------------|| |atan|--------------------||| | |/ ___\ / __________ | |atan|--------------------|| |atan|--------------------||| |atan|--------------------||
_________________________________ || 1 I*\/ 3 | / 100941679438 2*I*\/ 90473295 | || 1 I*\/ 3 | / 100941679438 2*I*\/ 90473295 | | || 1 I*\/ 3 | / 100941679438 2*I*\/ 90473295 | ___________ | \ 555179236909 /| ___________ | \ 555179236909 /|| | || 1 I*\/ 3 | / 100941679438 2*I*\/ 90473295 | ___________ | \ 555179236909 /| ___________ | \ 555179236909 /|| ___________ | \ 555179236909 /|
/ __________ ||- - + -------|*3 / ------------ + ---------------- | ||- - - -------|*3 / ------------ + ---------------- | | ||- - + -------|*3 / ------------ + ---------------- | \/ 133012231 *sin|--------------------------| \/ 399036693 *cos|--------------------------|| | ||- - - -------|*3 / ------------ + ---------------- | \/ 133012231 *sin|--------------------------| \/ 399036693 *cos|--------------------------|| 2*\/ 133012231 *cos|--------------------------|
2456 / 100941679438 2*I*\/ 90473295 48368084 \\ 2 2 / \/ 3205776717 6171 / \\ 2 2 / \/ 3205776717 6171 / | \\ 2 2 / \/ 3205776717 6171 / \ 3 / \ 3 /| | \\ 2 2 / \/ 3205776717 6171 / \ 3 / \ 3 /| \ 3 /
---- + 3 / ------------ + ---------------- + ---------------------------------------------- + ------------------------------------------------------------------- + ------------------------------------------------------------------- + I*|------------------------------------------------------------------- - --------------------------------------------- + ---------------------------------------------| + I*|------------------------------------------------------------------- - --------------------------------------------- - ---------------------------------------------| - -----------------------------------------------
221 \/ 3205776717 6171 _________________________________ 4835259 4835259 \ 4835259 7293 7293 / \ 4835259 7293 7293 / 7293
/ __________
/ 100941679438 2*I*\/ 90473295
4835259*3 / ------------ + ----------------
\/ 3205776717 6171
$$- \frac{2 \sqrt{133012231} \cos{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293} + \frac{48368084 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{100941679438}{3205776717} + \frac{2 \sqrt{90473295} i}{6171}}}\right)}}{4835259} + \frac{48368084 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{100941679438}{3205776717} + \frac{2 \sqrt{90473295} i}{6171}}}\right)}}{4835259} + \frac{2456}{221} + \frac{48368084}{4835259 \sqrt[3]{\frac{100941679438}{3205776717} + \frac{2 \sqrt{90473295} i}{6171}}} + i \left(\frac{48368084 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{100941679438}{3205776717} + \frac{2 \sqrt{90473295} i}{6171}}}\right)}}{4835259} - \frac{\sqrt{133012231} \sin{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293} + \frac{\sqrt{399036693} \cos{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293}\right) + i \left(- \frac{\sqrt{399036693} \cos{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293} - \frac{\sqrt{133012231} \sin{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293} + \frac{48368084 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{100941679438}{3205776717} + \frac{2 \sqrt{90473295} i}{6171}}}\right)}}{4835259}\right) + \sqrt[3]{\frac{100941679438}{3205776717} + \frac{2 \sqrt{90473295} i}{6171}}$$
producto
/ / 1 \ / / 1 \ \ \ / / 1 \ / / 1 \ \ \
| 48368084*re|------------------------------------------------------| |48368084*im|------------------------------------------------------| / / __________\\ / / __________\\| / / __________\\ / / __________\\| | 48368084*re|------------------------------------------------------| |48368084*im|------------------------------------------------------| / / __________\\ / / __________\\| / / __________\\ / / __________\\|
| | _________________________________| | | _________________________________| | |5714397*\/ 90473295 || | |5714397*\/ 90473295 ||| | |5714397*\/ 90473295 || | |5714397*\/ 90473295 ||| | | _________________________________| | | _________________________________| | |5714397*\/ 90473295 || | |5714397*\/ 90473295 ||| | |5714397*\/ 90473295 || | |5714397*\/ 90473295 |||
| |/ ___\ / __________ | | |/ ___\ / __________ | |atan|--------------------|| |atan|--------------------||| |atan|--------------------|| |atan|--------------------||| | |/ ___\ / __________ | | |/ ___\ / __________ | |atan|--------------------|| |atan|--------------------||| |atan|--------------------|| |atan|--------------------|||
| || 1 I*\/ 3 | / 100941679438 2*I*\/ 90473295 | | || 1 I*\/ 3 | / 100941679438 2*I*\/ 90473295 | ___________ | \ 555179236909 /| ___________ | \ 555179236909 /|| ___________ | \ 555179236909 /| ___________ | \ 555179236909 /|| | || 1 I*\/ 3 | / 100941679438 2*I*\/ 90473295 | | || 1 I*\/ 3 | / 100941679438 2*I*\/ 90473295 | ___________ | \ 555179236909 /| ___________ | \ 555179236909 /|| ___________ | \ 555179236909 /| ___________ | \ 555179236909 /|| / _________________________________ \
| ||- - - -------|*3 / ------------ + ---------------- | | ||- - - -------|*3 / ------------ + ---------------- | \/ 133012231 *sin|--------------------------| \/ 399036693 *cos|--------------------------|| \/ 133012231 *cos|--------------------------| \/ 399036693 *sin|--------------------------|| | ||- - + -------|*3 / ------------ + ---------------- | | ||- - + -------|*3 / ------------ + ---------------- | \/ 133012231 *sin|--------------------------| \/ 399036693 *cos|--------------------------|| \/ 133012231 *cos|--------------------------| \/ 399036693 *sin|--------------------------|| | / __________ |
|2456 \\ 2 2 / \/ 3205776717 6171 / | \\ 2 2 / \/ 3205776717 6171 / \ 3 / \ 3 /| \ 3 / \ 3 /| |2456 \\ 2 2 / \/ 3205776717 6171 / | \\ 2 2 / \/ 3205776717 6171 / \ 3 / \ 3 /| \ 3 / \ 3 /| |2456 / 100941679438 2*I*\/ 90473295 48368084 |
0*|---- + ------------------------------------------------------------------- + I*|------------------------------------------------------------------- - --------------------------------------------- - ---------------------------------------------| - --------------------------------------------- + ---------------------------------------------|*|---- + ------------------------------------------------------------------- + I*|------------------------------------------------------------------- - --------------------------------------------- + ---------------------------------------------| - --------------------------------------------- - ---------------------------------------------|*|---- + 3 / ------------ + ---------------- + ----------------------------------------------|
\663 4835259 \ 4835259 7293 7293 / 7293 7293 / \663 4835259 \ 4835259 7293 7293 / 7293 7293 / |663 \/ 3205776717 6171 _________________________________|
| / __________ |
| / 100941679438 2*I*\/ 90473295 |
| 4835259*3 / ------------ + ---------------- |
\ \/ 3205776717 6171 /
$$0 \left(- \frac{\sqrt{133012231} \cos{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293} + \frac{48368084 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{100941679438}{3205776717} + \frac{2 \sqrt{90473295} i}{6171}}}\right)}}{4835259} + \frac{\sqrt{399036693} \sin{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293} + \frac{2456}{663} + i \left(- \frac{\sqrt{399036693} \cos{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293} - \frac{\sqrt{133012231} \sin{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293} + \frac{48368084 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{100941679438}{3205776717} + \frac{2 \sqrt{90473295} i}{6171}}}\right)}}{4835259}\right)\right) \left(\frac{48368084 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{100941679438}{3205776717} + \frac{2 \sqrt{90473295} i}{6171}}}\right)}}{4835259} - \frac{\sqrt{133012231} \cos{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293} - \frac{\sqrt{399036693} \sin{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293} + \frac{2456}{663} + i \left(\frac{48368084 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{100941679438}{3205776717} + \frac{2 \sqrt{90473295} i}{6171}}}\right)}}{4835259} - \frac{\sqrt{133012231} \sin{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293} + \frac{\sqrt{399036693} \cos{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293}\right)\right) \left(\frac{2456}{663} + \frac{48368084}{4835259 \sqrt[3]{\frac{100941679438}{3205776717} + \frac{2 \sqrt{90473295} i}{6171}}} + \sqrt[3]{\frac{100941679438}{3205776717} + \frac{2 \sqrt{90473295} i}{6171}}\right)$$
=
0
$$0$$
0
Respuesta numérica
[src]
x1 = 0
x2 = 0.721438603272705 - 0.e-22*i
x3 = 0.365087682410637 + 0.e-22*i
x4 = 10.0265958862624 - 0.e-22*i
x4 = 10.0265958862624 - 0.e-22*i