Question

Use the square root property to solve the quadratic equation.
2xsquaredminus6equals0
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Question content area right
Part 1
x​ =
  
enter your response here

Answer 1

To solve the quadratic equation \( 2x^2 - 6 = 0 \) using the square root property, we can follow these steps:

1. **Isolate the quadratic term**:
\[
2x^2 = 6
\]

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

3. **Apply the square root property** (which states that if \( x^2 = a \), then \( x = \pm \sqrt{a} \)):
\[
x = \pm \sqrt{3}
\]

Thus, the solutions to the equation are:
\[
x = \sqrt{3} \quad \text{and} \quad x = -\sqrt{3}
\]

So, to enter the response for \( x \):
- One solution is \( x = \sqrt{3} \)
- The other solution is \( x = -\sqrt{3} \)

You can represent it concisely by saying:
\[
x = \pm \sqrt{3}
\]