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- La ecuación:
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Ecuación x^2+5x=36
-
Ecuación 3*x=8
-
Ecuación 9-7(x+3)=5-6x
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Ecuación 4x-5=3+2(x+1)
- Expresar {x} en función de y en la ecuación:
- -17*x+2*y=9
- 10*x-15*y=16
- -17*x+2*y=-4
- -2*x-19*y=3
-
Expresiones idénticas
- (x^ dos - tres *x+ dos)*(x^ dos - nueve *x+ veinte)*(x^ dos - nueve *x+ dieciocho)= setecientos veinte
- (x al cuadrado menos 3 multiplicar por x más 2) multiplicar por (x al cuadrado menos 9 multiplicar por x más 20) multiplicar por (x al cuadrado menos 9 multiplicar por x más 18) es igual a 720
- (x en el grado dos menos tres multiplicar por x más dos) multiplicar por (x en el grado dos menos nueve multiplicar por x más veinte) multiplicar por (x en el grado dos menos nueve multiplicar por x más dieciocho) es igual a setecientos veinte
- (x2-3*x+2)*(x2-9*x+20)*(x2-9*x+18)=720
- x2-3*x+2*x2-9*x+20*x2-9*x+18=720
- (x²-3*x+2)*(x²-9*x+20)*(x²-9*x+18)=720
- (x en el grado 2-3*x+2)*(x en el grado 2-9*x+20)*(x en el grado 2-9*x+18)=720
- (x^2-3x+2)(x^2-9x+20)(x^2-9x+18)=720
- (x2-3x+2)(x2-9x+20)(x2-9x+18)=720
- x2-3x+2x2-9x+20x2-9x+18=720
- x^2-3x+2x^2-9x+20x^2-9x+18=720
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Expresiones semejantes
- (x^2-3*x+2)*(x^2-9*x+20)*(x^2-9*x-18)=720
- (x^2-3*x+2)*(x^2+9*x+20)*(x^2-9*x+18)=720
- (x^2+3*x+2)*(x^2-9*x+20)*(x^2-9*x+18)=720
- (x^2-3*x+2)*(x^2-9*x+20)*(x^2+9*x+18)=720
- (x^2-3*x-2)*(x^2-9*x+20)*(x^2-9*x+18)=720
- (x^2-3*x+2)*(x^2-9*x-20)*(x^2-9*x+18)=720
(x^2-3*x+2)*(x^2-9*x+20)*(x^2-9*x+18)=720 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
/ 2 \ / 2 \ / 2 \ \x - 3*x + 2/*\x - 9*x + 20/*\x - 9*x + 18/ = 720
$$\left(\left(x^{2} - 9 x\right) + 20\right) \left(\left(x^{2} - 3 x\right) + 2\right) \left(\left(x^{2} - 9 x\right) + 18\right) = 720$$
Suma y producto de raíces
[src]
suma
/ / ____\\ / / ____\\ / / ____\\ / / ____\\ / / ____\\ / / ____\\ / / ____\\ / / ____\\
| |8*\/ 14 || | |8*\/ 14 || | |8*\/ 14 || | |8*\/ 14 || | |8*\/ 14 || | |8*\/ 14 || | |8*\/ 14 || | |8*\/ 14 ||
|atan|--------|| |atan|--------|| |atan|--------|| |atan|--------|| |atan|--------|| |atan|--------|| |atan|--------|| |atan|--------||
3/4 4 ____ | \ 7 /| 3/4 4 ____ | \ 7 /| 3/4 4 ____ | \ 7 /| 3/4 4 ____ | \ 7 /| 3/4 4 ____ | \ 7 /| 3/4 4 ____ | \ 7 /| 3/4 4 ____ | \ 7 /| 3/4 4 ____ | \ 7 /|
3 *\/ 35 *sin|--------------| I*3 *\/ 35 *cos|--------------| 3 *\/ 35 *sin|--------------| I*3 *\/ 35 *cos|--------------| 3 *\/ 35 *sin|--------------| I*3 *\/ 35 *cos|--------------| 3 *\/ 35 *sin|--------------| I*3 *\/ 35 *cos|--------------|
7 \ 2 / \ 2 / 7 \ 2 / \ 2 / 7 \ 2 / \ 2 / 7 \ 2 / \ 2 /
7 + - - ------------------------------- + --------------------------------- + - + ------------------------------- - --------------------------------- + - - ------------------------------- - --------------------------------- + - + ------------------------------- + ---------------------------------
2 2 2 2 2 2 2 2 2 2 2 2
$$\left(\left(- \frac{3^{\frac{3}{4}} \sqrt[4]{35} \sin{\left(\frac{\operatorname{atan}{\left(\frac{8 \sqrt{14}}{7} \right)}}{2} \right)}}{2} + \frac{7}{2} - \frac{3^{\frac{3}{4}} \sqrt[4]{35} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{8 \sqrt{14}}{7} \right)}}{2} \right)}}{2}\right) + \left(\left(\frac{3^{\frac{3}{4}} \sqrt[4]{35} \sin{\left(\frac{\operatorname{atan}{\left(\frac{8 \sqrt{14}}{7} \right)}}{2} \right)}}{2} + \frac{7}{2} - \frac{3^{\frac{3}{4}} \sqrt[4]{35} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{8 \sqrt{14}}{7} \right)}}{2} \right)}}{2}\right) + \left(7 + \left(- \frac{3^{\frac{3}{4}} \sqrt[4]{35} \sin{\left(\frac{\operatorname{atan}{\left(\frac{8 \sqrt{14}}{7} \right)}}{2} \right)}}{2} + \frac{7}{2} + \frac{3^{\frac{3}{4}} \sqrt[4]{35} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{8 \sqrt{14}}{7} \right)}}{2} \right)}}{2}\right)\right)\right)\right) + \left(\frac{3^{\frac{3}{4}} \sqrt[4]{35} \sin{\left(\frac{\operatorname{atan}{\left(\frac{8 \sqrt{14}}{7} \right)}}{2} \right)}}{2} + \frac{7}{2} + \frac{3^{\frac{3}{4}} \sqrt[4]{35} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{8 \sqrt{14}}{7} \right)}}{2} \right)}}{2}\right)$$
=
21
$$21$$
producto
/ / / ____\\ / / ____\\\ / / / ____\\ / / ____\\\ / / / ____\\ / / ____\\\ / / / ____\\ / / ____\\\
| | |8*\/ 14 || | |8*\/ 14 ||| | | |8*\/ 14 || | |8*\/ 14 ||| | | |8*\/ 14 || | |8*\/ 14 ||| | | |8*\/ 14 || | |8*\/ 14 |||
| |atan|--------|| |atan|--------||| | |atan|--------|| |atan|--------||| | |atan|--------|| |atan|--------||| | |atan|--------|| |atan|--------|||
| 3/4 4 ____ | \ 7 /| 3/4 4 ____ | \ 7 /|| | 3/4 4 ____ | \ 7 /| 3/4 4 ____ | \ 7 /|| | 3/4 4 ____ | \ 7 /| 3/4 4 ____ | \ 7 /|| | 3/4 4 ____ | \ 7 /| 3/4 4 ____ | \ 7 /||
| 3 *\/ 35 *sin|--------------| I*3 *\/ 35 *cos|--------------|| | 3 *\/ 35 *sin|--------------| I*3 *\/ 35 *cos|--------------|| | 3 *\/ 35 *sin|--------------| I*3 *\/ 35 *cos|--------------|| | 3 *\/ 35 *sin|--------------| I*3 *\/ 35 *cos|--------------||
|7 \ 2 / \ 2 /| |7 \ 2 / \ 2 /| |7 \ 2 / \ 2 /| |7 \ 2 / \ 2 /|
0*7*|- - ------------------------------- + ---------------------------------|*|- + ------------------------------- - ---------------------------------|*|- - ------------------------------- - ---------------------------------|*|- + ------------------------------- + ---------------------------------|
\2 2 2 / \2 2 2 / \2 2 2 / \2 2 2 /
$$0 \cdot 7 \left(- \frac{3^{\frac{3}{4}} \sqrt[4]{35} \sin{\left(\frac{\operatorname{atan}{\left(\frac{8 \sqrt{14}}{7} \right)}}{2} \right)}}{2} + \frac{7}{2} + \frac{3^{\frac{3}{4}} \sqrt[4]{35} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{8 \sqrt{14}}{7} \right)}}{2} \right)}}{2}\right) \left(\frac{3^{\frac{3}{4}} \sqrt[4]{35} \sin{\left(\frac{\operatorname{atan}{\left(\frac{8 \sqrt{14}}{7} \right)}}{2} \right)}}{2} + \frac{7}{2} - \frac{3^{\frac{3}{4}} \sqrt[4]{35} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{8 \sqrt{14}}{7} \right)}}{2} \right)}}{2}\right) \left(- \frac{3^{\frac{3}{4}} \sqrt[4]{35} \sin{\left(\frac{\operatorname{atan}{\left(\frac{8 \sqrt{14}}{7} \right)}}{2} \right)}}{2} + \frac{7}{2} - \frac{3^{\frac{3}{4}} \sqrt[4]{35} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{8 \sqrt{14}}{7} \right)}}{2} \right)}}{2}\right) \left(\frac{3^{\frac{3}{4}} \sqrt[4]{35} \sin{\left(\frac{\operatorname{atan}{\left(\frac{8 \sqrt{14}}{7} \right)}}{2} \right)}}{2} + \frac{7}{2} + \frac{3^{\frac{3}{4}} \sqrt[4]{35} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{8 \sqrt{14}}{7} \right)}}{2} \right)}}{2}\right)$$
=
0
$$0$$
0
Respuesta rápida
[src]
x1 = 0
$$x_{1} = 0$$
x2 = 7
$$x_{2} = 7$$
/ / ____\\ / / ____\\
| |8*\/ 14 || | |8*\/ 14 ||
|atan|--------|| |atan|--------||
3/4 4 ____ | \ 7 /| 3/4 4 ____ | \ 7 /|
3 *\/ 35 *sin|--------------| I*3 *\/ 35 *cos|--------------|
7 \ 2 / \ 2 /
x3 = - - ------------------------------- + ---------------------------------
2 2 2
$$x_{3} = - \frac{3^{\frac{3}{4}} \sqrt[4]{35} \sin{\left(\frac{\operatorname{atan}{\left(\frac{8 \sqrt{14}}{7} \right)}}{2} \right)}}{2} + \frac{7}{2} + \frac{3^{\frac{3}{4}} \sqrt[4]{35} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{8 \sqrt{14}}{7} \right)}}{2} \right)}}{2}$$
/ / ____\\ / / ____\\
| |8*\/ 14 || | |8*\/ 14 ||
|atan|--------|| |atan|--------||
3/4 4 ____ | \ 7 /| 3/4 4 ____ | \ 7 /|
3 *\/ 35 *sin|--------------| I*3 *\/ 35 *cos|--------------|
7 \ 2 / \ 2 /
x4 = - + ------------------------------- - ---------------------------------
2 2 2
$$x_{4} = \frac{3^{\frac{3}{4}} \sqrt[4]{35} \sin{\left(\frac{\operatorname{atan}{\left(\frac{8 \sqrt{14}}{7} \right)}}{2} \right)}}{2} + \frac{7}{2} - \frac{3^{\frac{3}{4}} \sqrt[4]{35} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{8 \sqrt{14}}{7} \right)}}{2} \right)}}{2}$$
/ / ____\\ / / ____\\
| |8*\/ 14 || | |8*\/ 14 ||
|atan|--------|| |atan|--------||
3/4 4 ____ | \ 7 /| 3/4 4 ____ | \ 7 /|
3 *\/ 35 *sin|--------------| I*3 *\/ 35 *cos|--------------|
7 \ 2 / \ 2 /
x5 = - - ------------------------------- - ---------------------------------
2 2 2
$$x_{5} = - \frac{3^{\frac{3}{4}} \sqrt[4]{35} \sin{\left(\frac{\operatorname{atan}{\left(\frac{8 \sqrt{14}}{7} \right)}}{2} \right)}}{2} + \frac{7}{2} - \frac{3^{\frac{3}{4}} \sqrt[4]{35} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{8 \sqrt{14}}{7} \right)}}{2} \right)}}{2}$$
/ / ____\\ / / ____\\
| |8*\/ 14 || | |8*\/ 14 ||
|atan|--------|| |atan|--------||
3/4 4 ____ | \ 7 /| 3/4 4 ____ | \ 7 /|
3 *\/ 35 *sin|--------------| I*3 *\/ 35 *cos|--------------|
7 \ 2 / \ 2 /
x6 = - + ------------------------------- + ---------------------------------
2 2 2
$$x_{6} = \frac{3^{\frac{3}{4}} \sqrt[4]{35} \sin{\left(\frac{\operatorname{atan}{\left(\frac{8 \sqrt{14}}{7} \right)}}{2} \right)}}{2} + \frac{7}{2} + \frac{3^{\frac{3}{4}} \sqrt[4]{35} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{8 \sqrt{14}}{7} \right)}}{2} \right)}}{2}$$
x6 = 3^(3/4)*35^(1/4)*sin(atan(8*sqrt(14)/7)/2)/2 + 7/2 + 3^(3/4)*35^(1/4)*i*cos(atan(8*sqrt(14)/7)/2)/2
Respuesta numérica
[src]
x1 = 1.77732575997815 - 2.17200518812337*i
x2 = 1.77732575997815 + 2.17200518812337*i
x3 = 5.22267424002185 + 2.17200518812337*i
x4 = 7.0
x5 = 5.22267424002185 - 2.17200518812337*i
x6 = 0.0
x6 = 0.0
Gráfico