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.)

1 answer

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: \[ x = 15, -15 \]