Question

Solve 4 x. select all solutions
X^2 -25 =0
A. 0
B. -5
C. 5
D. +
- ^5

E. 25

Answer 1

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

\[
x^2 - 25 = (x - 5)(x + 5) = 0
\]

Setting each factor equal to zero gives us the solutions:

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

Therefore, the solutions to the equation are \( x = 5 \) and \( x = -5 \).

Now let's check the options:

A. 0 - **Not a solution**
B. -5 - **Is a solution**
C. 5 - **Is a solution**
D. + -5 - **Is a solution in a different notation (indicating both +5 and -5)**
E. 25 - **Not a solution**

The correct answers are B, C, and D.