Question
Find the values of x that make the following equation equal zero:
(x+4)(x−2)=0.
(1 point)
Responses
x=−4 and x=2
x=−4 and x=2
x=−2 and x=4
x=−2 and x=4
x=2 and x=4
x=2 and x=4
x=−2 and x=−4
(x+4)(x−2)=0.
(1 point)
Responses
x=−4 and x=2
x=−4 and x=2
x=−2 and x=4
x=−2 and x=4
x=2 and x=4
x=2 and x=4
x=−2 and x=−4
Answers
GPT-4o mini
To find the values of \( x \) that make the equation \( (x+4)(x-2) = 0 \) equal to zero, we can set each factor equal to zero:
1. \( x + 4 = 0 \)
- Solving for \( x \):
\[
x = -4
\]
2. \( x - 2 = 0 \)
- Solving for \( x \):
\[
x = 2
\]
Thus, the solutions to the equation \( (x+4)(x-2) = 0 \) are \( x = -4 \) and \( x = 2 \).
The correct response is:
**x=−4 and x=2**.
1. \( x + 4 = 0 \)
- Solving for \( x \):
\[
x = -4
\]
2. \( x - 2 = 0 \)
- Solving for \( x \):
\[
x = 2
\]
Thus, the solutions to the equation \( (x+4)(x-2) = 0 \) are \( x = -4 \) and \( x = 2 \).
The correct response is:
**x=−4 and x=2**.