What are the solutions of the quadratic equation? Show your step-by-step work.

Question

x^2−25=0

Answer 1

To find the solutions of the quadratic equation x^2 - 25 = 0, we can use the factoring method.

Step 1: Rearrange the equation to make one side equal to zero.
x^2 - 25 = 0
x^2 = 25

Step 2: Take the square root of both sides.
√(x^2) = ±√25
x = ±5

Therefore, the solutions of the quadratic equation x^2 - 25 = 0 are x = 5 and x = -5.