What are the solutions of the equation x^4+ 95x^2-500=0? use factoring to solve

x = ± sqrt(5)

x = ±10i

Step-by-step explanation:

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

What two numbers multiply to -500 and add to 95

-5 * 100 = -500

-5 +100 = 95

(x^2 - 5) (x^2 + 100) = 0

Using the zero product property

x^2 -5 =0          x^2 +100 =0

x^2 -5+5 =0      x^2 +100-100 = 0-100

x^2 =5               x^2 = -100

Take the square root of each side

x = ± sqrt(5)       x = imaginary numbers

                           x = ±10i

true

explanation:

irrational, cannot