Question

Use the square root property to solve.xsquaredequals225Question content area bottomPart 1The​ solution(s) is(are) xequalsenter your response here.​(Simplify your answer. Type an exact​ answer, using radicals as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as​ needed.)

Answer 1

To solve the equation \( x^2 = 225 \) using the square root property, we take the square root of both sides. According to the square root property, if \( x^2 = a \), then \( x = \pm \sqrt{a} \).

So for the equation \( x^2 = 225 \):

1. Take the square root of both sides:
\[
x = \pm \sqrt{225}
\]

2. Calculate the square root:
\[
\sqrt{225} = 15
\]

3. Therefore, the solutions are:
\[
x = 15 \quad \text{and} \quad x = -15
\]

The complete solution is:
\[
x = 15, -15
\]