What are the solutions of the equation x4 + 95×2 – 500 = 0? use factoring to solve.

x=+- sqrt 5 and x = ±10
x=+- sqrt i5 and x = ±10i
x=+- sqrt 5 and x = ±10i
x=+- sqrt i5 and x = ±10

Answer:- 

Given

The equation in the form

x^4 +95x^2-500=0

Find the factor of the overhead equation

To proof

factoring the above equation

we receive

x^4+100x25x2-500=0

x²(x² + 100)-5(x² +100) = 0

(x² – 5)(x² + 100) = 0

now solving the equation, we get the value

x^2 =5

x^2 =- 100

x= +root  5

x= root -100

The factor of the equation is

x = + root 5

x= + 10ix

Henceforth proved