Question

Use the square root property to solve the quadratic equation.
3xsquaredminus21equals0
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Question content area right
Part 1
x​ =
  
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Answer 1

To solve the quadratic equation \(3x^2 - 21 = 0\) using the square root property, we first need to isolate the \(x^2\) term. Here are the steps:

1. **Add 21 to both sides**:
\[
3x^2 = 21
\]

2. **Divide both sides by 3**:
\[
x^2 = 7
\]

3. **Take the square root of both sides**:
\[
x = \pm \sqrt{7}
\]

Thus, the solutions to the equation are:
\[
x = \sqrt{7} \quad \text{and} \quad x = -\sqrt{7}
\]

So your answers for \(x\) are:
- \(x = \sqrt{7}\)
- \(x = -\sqrt{7}\)