How do you solve 4x^2=52 solve using the square root property?

1 Answer
Feb 8, 2015

Using the square root property to solve this problem involves the following steps.

Isolate the squared term. (Already isolated.)

4x^2 = 52

Take the square of both sides, indicating that the solution can be positive or negative.

sqrt(4x^2) = +-sqrt(52)

Solve for x.

2x = +-sqrt(4·13)

2x = +-sqrt(4)·sqrt(13)

2x = +-2 sqrt(13)

x = +-sqrt(13)