Sr Examen

Otras calculadoras

(x-2)^4+(x+6)^4=-7(x+2)^2 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

v

Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
       4          4             2
(x - 2)  + (x + 6)  = -7*(x + 2) 
(x2)4+(x+6)4=7(x+2)2\left(x - 2\right)^{4} + \left(x + 6\right)^{4} = - 7 \left(x + 2\right)^{2}
Suma y producto de raíces [src]
suma
          __________________             __________________             __________________             __________________
         /           ______             /           ______             /           ______             /           ______ 
     I*\/  199 + 3*\/ 3945          I*\/  199 + 3*\/ 3945          I*\/  199 - 3*\/ 3945          I*\/  199 - 3*\/ 3945  
-2 - ----------------------- + -2 + ----------------------- + -2 - ----------------------- + -2 + -----------------------
                2                              2                              2                              2           
((2i199339452)+((2i33945+1992)+(2+i33945+1992)))+(2+i199339452)\left(\left(-2 - \frac{i \sqrt{199 - 3 \sqrt{3945}}}{2}\right) + \left(\left(-2 - \frac{i \sqrt{3 \sqrt{3945} + 199}}{2}\right) + \left(-2 + \frac{i \sqrt{3 \sqrt{3945} + 199}}{2}\right)\right)\right) + \left(-2 + \frac{i \sqrt{199 - 3 \sqrt{3945}}}{2}\right)
=
-8
8-8
producto
/          __________________\ /          __________________\ /          __________________\ /          __________________\
|         /           ______ | |         /           ______ | |         /           ______ | |         /           ______ |
|     I*\/  199 + 3*\/ 3945  | |     I*\/  199 + 3*\/ 3945  | |     I*\/  199 - 3*\/ 3945  | |     I*\/  199 - 3*\/ 3945  |
|-2 - -----------------------|*|-2 + -----------------------|*|-2 - -----------------------|*|-2 + -----------------------|
\                2           / \                2           / \                2           / \                2           /
(2i33945+1992)(2+i33945+1992)(2i199339452)(2+i199339452)\left(-2 - \frac{i \sqrt{3 \sqrt{3945} + 199}}{2}\right) \left(-2 + \frac{i \sqrt{3 \sqrt{3945} + 199}}{2}\right) \left(-2 - \frac{i \sqrt{199 - 3 \sqrt{3945}}}{2}\right) \left(-2 + \frac{i \sqrt{199 - 3 \sqrt{3945}}}{2}\right)
=
670
670670
670
Respuesta rápida [src]
               __________________
              /           ______ 
          I*\/  199 + 3*\/ 3945  
x1 = -2 - -----------------------
                     2           
x1=2i33945+1992x_{1} = -2 - \frac{i \sqrt{3 \sqrt{3945} + 199}}{2}
               __________________
              /           ______ 
          I*\/  199 + 3*\/ 3945  
x2 = -2 + -----------------------
                     2           
x2=2+i33945+1992x_{2} = -2 + \frac{i \sqrt{3 \sqrt{3945} + 199}}{2}
               __________________
              /           ______ 
          I*\/  199 - 3*\/ 3945  
x3 = -2 - -----------------------
                     2           
x3=2i199339452x_{3} = -2 - \frac{i \sqrt{199 - 3 \sqrt{3945}}}{2}
               __________________
              /           ______ 
          I*\/  199 - 3*\/ 3945  
x4 = -2 + -----------------------
                     2           
x4=2+i199339452x_{4} = -2 + \frac{i \sqrt{199 - 3 \sqrt{3945}}}{2}
x4 = -2 + i*sqrt(199 - 3*sqrt(3945))/2
Respuesta numérica [src]
x1 = -2.0 - 9.8415916518786*i
x2 = -2.0 + 9.8415916518786*i
x3 = -2.0 + 1.62575328930111*i
x4 = -2.0 - 1.62575328930111*i
x4 = -2.0 - 1.62575328930111*i