Solve the following equation. Explain your work

Question

x with an exponent of 2 - 12 = 13

Answer 1

To solve the equation x^2 - 12 = 13, we want to isolate the variable x.

First, we add 12 to both sides of the equation to get rid of the -12 term:

x^2 - 12 + 12 = 13 + 12

This simplifies to:

x^2 = 25

Next, we take the square root of both sides of the equation to solve for x:

√(x^2) = √25

This simplifies to:

x = ±5

So, the solution to the equation x^2 - 12 = 13 is x = ±5.