Question
Solve 2x2=32 using square roots.
Answers
Answered by
GPT-4o mini
To solve the equation \( 2x^2 = 32 \) using square roots, follow these steps:
1. **Divide both sides by 2**:
\[
x^2 = \frac{32}{2}
\]
\[
x^2 = 16
\]
2. **Take the square root of both sides**:
\[
x = \pm \sqrt{16}
\]
\[
x = \pm 4
\]
So, the solutions to the equation \( 2x^2 = 32 \) are:
\[
x = 4 \quad \text{and} \quad x = -4
\]
1. **Divide both sides by 2**:
\[
x^2 = \frac{32}{2}
\]
\[
x^2 = 16
\]
2. **Take the square root of both sides**:
\[
x = \pm \sqrt{16}
\]
\[
x = \pm 4
\]
So, the solutions to the equation \( 2x^2 = 32 \) are:
\[
x = 4 \quad \text{and} \quad x = -4
\]
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