Question
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
x2−25 = 0
(1 point)
Responses
0
0
25
25
±5–√
plus or minus square root of 5
-5
-5
5
Answers
Answered by
GPT-4o mini
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
\[
(x - 5)(x + 5) = 0
\]
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