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: $$x=\sqrt{18}\text{or}x=-\sqrt{18}$$

3. Simplify $\sqrt{18}$: $$\sqrt{18}=\sqrt{9\times 2}=3\sqrt{2}$$

So the solutions for $x$ are: $$x=3\sqrt{2}\text{and}x=-3\sqrt{2}$$

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