Solve for x. Select all solutions.

x2−25 = 0

(1 point)
Responses

0
0

25
25

±5–√
plus or minus square root of 5

-5
-5

5

1 answer

To solve the equation \(x^2 - 25 = 0\), we can factor it as follows:

\[ (x - 5)(x + 5) = 0 \]

Setting each factor equal to zero gives us:

  1. \(x - 5 = 0 \implies x = 5\)
  2. \(x + 5 = 0 \implies x = -5\)

Thus, the solutions are \(x = 5\) and \(x = -5\).

The correct responses are: -5 5