Question

Solve the following equation algebraically: x squared = 50

Answer 1

x = ±5sqrt(2)

Explanation:

x^2 = 50

Take the square root of each side

sqrt(x^2) = ±sqrt(50)

x = ±sqrt(25*2)

We know that sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(25)*sqrt(2)

x = ±5sqrt(2)