Solve the equation.

Question

x2−6=12
𝑥
2
−
6
=
12

(1 point)
x =
𝑥

=

Answer 1

To solve the equation \( x^2 - 6 = 12 \), follow these steps:

1. Add 6 to both sides: \[ x^2 - 6 + 6 = 12 + 6 \] This simplifies to: \[ x^2 = 18 \]

2. Take the square root of both sides: \[ x = \sqrt{18} \quad \text{or} \quad x = -\sqrt{18} \]

3. Simplify \(\sqrt{18}\): \[ \sqrt{18} = \sqrt{9 \times 2} = 3\sqrt{2} \]

So the solutions for \( x \) are: \[ x = 3\sqrt{2} \quad \text{and} \quad x = -3\sqrt{2} \]

Thus, the final answer is: \[ x = 3\sqrt{2} \quad \text{or} \quad x = -3\sqrt{2} \]