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La ecuación:
Ecuación 3*x^2-x+2=0
Ecuación x^2=-74
Ecuación z^2+z+1=0
Ecuación 90+x-4*10=60
Expresar {x} en función de y en la ecuación:
9*x+14*y=-10
-4*x-8*y=-20
-12*x-10*y=-16
10*x-15*y=16
Expresiones idénticas
dieciséis - dos *x^ dos /(x^ dos + ocho)^ dos = cero
16 menos 2 multiplicar por x al cuadrado dividir por (x al cuadrado más 8) al cuadrado es igual a 0
dieciséis menos dos multiplicar por x en el grado dos dividir por (x en el grado dos más ocho) en el grado dos es igual a cero
16-2*x2/(x2+8)2=0
16-2*x2/x2+82=0
16-2*x²/(x²+8)²=0
16-2*x en el grado 2/(x en el grado 2+8) en el grado 2=0
16-2x^2/(x^2+8)^2=0
16-2x2/(x2+8)2=0
16-2x2/x2+82=0
16-2x^2/x^2+8^2=0
16-2*x^2/(x^2+8)^2=O
16-2*x^2 dividir por (x^2+8)^2=0
Expresiones semejantes
16-2*x^2/(x^2-8)^2=0
16+2*x^2/(x^2+8)^2=0

16-2*x^2/(x^2+8)^2=0 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

           2      
        2*x       
16 - --------- = 0
             2    
     / 2    \     
     \x  + 8/

- \frac{2 x^{2}}{\left(x^{2} + 8\right)^{2}} + 16 = 0

Simplificar

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Suma y producto de raíces [src]

suma

             /    /  _____\\                /    /  _____\\                /    /  _____\\                /    /  _____\\              /    /  _____\\                /    /  _____\\              /    /  _____\\                /    /  _____\\
             |    |\/ 255 ||                |    |\/ 255 ||                |    |\/ 255 ||                |    |\/ 255 ||              |    |\/ 255 ||                |    |\/ 255 ||              |    |\/ 255 ||                |    |\/ 255 ||
             |atan|-------||                |atan|-------||                |atan|-------||                |atan|-------||              |atan|-------||                |atan|-------||              |atan|-------||                |atan|-------||
      ___    |    \  127  /|         ___    |    \  127  /|         ___    |    \  127  /|         ___    |    \  127  /|       ___    |    \  127  /|         ___    |    \  127  /|       ___    |    \  127  /|         ___    |    \  127  /|
- 2*\/ 2 *sin|-------------| - 2*I*\/ 2 *cos|-------------| + - 2*\/ 2 *sin|-------------| + 2*I*\/ 2 *cos|-------------| + 2*\/ 2 *sin|-------------| - 2*I*\/ 2 *cos|-------------| + 2*\/ 2 *sin|-------------| + 2*I*\/ 2 *cos|-------------|
             \      2      /                \      2      /                \      2      /                \      2      /              \      2      /                \      2      /              \      2      /                \      2      /

\left(\left(2 \sqrt{2} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)} - 2 \sqrt{2} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)}\right) + \left(\left(- 2 \sqrt{2} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)} - 2 \sqrt{2} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)}\right) + \left(- 2 \sqrt{2} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)} + 2 \sqrt{2} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)}\right)\right)\right) + \left(2 \sqrt{2} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)} + 2 \sqrt{2} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)}\right)

0

producto

/             /    /  _____\\                /    /  _____\\\ /             /    /  _____\\                /    /  _____\\\ /           /    /  _____\\                /    /  _____\\\ /           /    /  _____\\                /    /  _____\\\
|             |    |\/ 255 ||                |    |\/ 255 ||| |             |    |\/ 255 ||                |    |\/ 255 ||| |           |    |\/ 255 ||                |    |\/ 255 ||| |           |    |\/ 255 ||                |    |\/ 255 |||
|             |atan|-------||                |atan|-------||| |             |atan|-------||                |atan|-------||| |           |atan|-------||                |atan|-------||| |           |atan|-------||                |atan|-------|||
|      ___    |    \  127  /|         ___    |    \  127  /|| |      ___    |    \  127  /|         ___    |    \  127  /|| |    ___    |    \  127  /|         ___    |    \  127  /|| |    ___    |    \  127  /|         ___    |    \  127  /||
|- 2*\/ 2 *sin|-------------| - 2*I*\/ 2 *cos|-------------||*|- 2*\/ 2 *sin|-------------| + 2*I*\/ 2 *cos|-------------||*|2*\/ 2 *sin|-------------| - 2*I*\/ 2 *cos|-------------||*|2*\/ 2 *sin|-------------| + 2*I*\/ 2 *cos|-------------||
\             \      2      /                \      2      // \             \      2      /                \      2      // \           \      2      /                \      2      // \           \      2      /                \      2      //

\left(- 2 \sqrt{2} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)} - 2 \sqrt{2} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)}\right) \left(- 2 \sqrt{2} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)} + 2 \sqrt{2} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)}\right) \left(2 \sqrt{2} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)} - 2 \sqrt{2} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)}\right) \left(2 \sqrt{2} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)} + 2 \sqrt{2} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)}\right)

                                              2                                              2
   /     /    /  _____\\      /    /  _____\\\  /       /    /  _____\\      /    /  _____\\\ 
   |     |    |\/ 255 ||      |    |\/ 255 |||  |       |    |\/ 255 ||      |    |\/ 255 ||| 
   |     |atan|-------||      |atan|-------|||  |       |atan|-------||      |atan|-------||| 
   |     |    \  127  /|      |    \  127  /||  |       |    \  127  /|      |    \  127  /|| 
64*|I*cos|-------------| + sin|-------------|| *|- I*cos|-------------| + sin|-------------|| 
   \     \      2      /      \      2      //  \       \      2      /      \      2      //

64 \left(\sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)} - i \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)}\right)^{2} \left(\sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)} + i \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)}\right)^{2}

64*(i*cos(atan(sqrt(255)/127)/2) + sin(atan(sqrt(255)/127)/2))^2*(-i*cos(atan(sqrt(255)/127)/2) + sin(atan(sqrt(255)/127)/2))^2

Respuesta rápida [src]

                  /    /  _____\\                /    /  _____\\
                  |    |\/ 255 ||                |    |\/ 255 ||
                  |atan|-------||                |atan|-------||
           ___    |    \  127  /|         ___    |    \  127  /|
x1 = - 2*\/ 2 *sin|-------------| - 2*I*\/ 2 *cos|-------------|
                  \      2      /                \      2      /

x_{1} = - 2 \sqrt{2} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)} - 2 \sqrt{2} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)}

                  /    /  _____\\                /    /  _____\\
                  |    |\/ 255 ||                |    |\/ 255 ||
                  |atan|-------||                |atan|-------||
           ___    |    \  127  /|         ___    |    \  127  /|
x2 = - 2*\/ 2 *sin|-------------| + 2*I*\/ 2 *cos|-------------|
                  \      2      /                \      2      /

x_{2} = - 2 \sqrt{2} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)} + 2 \sqrt{2} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)}

                /    /  _____\\                /    /  _____\\
                |    |\/ 255 ||                |    |\/ 255 ||
                |atan|-------||                |atan|-------||
         ___    |    \  127  /|         ___    |    \  127  /|
x3 = 2*\/ 2 *sin|-------------| - 2*I*\/ 2 *cos|-------------|
                \      2      /                \      2      /

x_{3} = 2 \sqrt{2} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)} - 2 \sqrt{2} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)}

                /    /  _____\\                /    /  _____\\
                |    |\/ 255 ||                |    |\/ 255 ||
                |atan|-------||                |atan|-------||
         ___    |    \  127  /|         ___    |    \  127  /|
x4 = 2*\/ 2 *sin|-------------| + 2*I*\/ 2 *cos|-------------|
                \      2      /                \      2      /

x_{4} = 2 \sqrt{2} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)} + 2 \sqrt{2} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)}

x4 = 2*sqrt(2)*sin(atan(sqrt(255)/127)/2) + 2*sqrt(2)*i*cos(atan(sqrt(255)/127)/2)

Respuesta numérica [src]

x1 = -0.176776695296637 - 2.82289744765905*i

x2 = -0.176776695296637 + 2.82289744765905*i

x3 = 0.176776695296637 - 2.82289744765905*i

x4 = 0.176776695296637 + 2.82289744765905*i

x4 = 0.176776695296637 + 2.82289744765905*i

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Expresiones idénticas

Expresiones semejantes

16-2*x^2/(x^2+8)^2=0 la ecuación

Solución numérica:

Solución