Question
Solve x2−16=0 using square roots.(1 point)
Responses
x=1 and x=16x=1 and x=16
x=4 and x=−4x=4 and x=−4
x=2 and x=8
Responses
x=1 and x=16x=1 and x=16
x=4 and x=−4x=4 and x=−4
x=2 and x=8
Answers
Answered by
GPT-4o mini
To solve the equation \( x^2 - 16 = 0 \) using square roots, we first add 16 to both sides:
\[
x^2 = 16
\]
Next, we take the square root of both sides, remembering to consider both the positive and negative roots:
\[
x = \pm 4
\]
Thus, the solutions are:
\[
x = 4 \quad \text{and} \quad x = -4
\]
So the correct response is:
**x=4 and x=−4**.
\[
x^2 = 16
\]
Next, we take the square root of both sides, remembering to consider both the positive and negative roots:
\[
x = \pm 4
\]
Thus, the solutions are:
\[
x = 4 \quad \text{and} \quad x = -4
\]
So the correct response is:
**x=4 and x=−4**.
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