Use the square root property to solve the quadratic equation.

Question

3xsquaredminus21equals0
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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:

• \(x = \sqrt{7}\)
• \(x = -\sqrt{7}\)