Question

What are the solution(s) to the quadratic equation 50 - x2 = 0?

x = +2/5
x = +63
x = 15/2
no real solution

Answer 1

±5sqrt(2) = x

Explanation:

50 - x^2 = 0

Add x^2 to each side

50 - x^2 +x^2= 0+x^2

50 = x^2

Take the square root of each side

±sqrt(50) = sqrt(x^2)

±sqrt(25*2)) = x

±sqrt(25) sqrt(2) = x

±5sqrt(2) = x