Solve the following equation. Explain your work
x with an exponent of 2 - 12 = 13
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.
To solve the equation x^2 - 12 = 13, we can use the following steps:
Step 1: Add 12 to both sides of the equation to isolate the term with x^2:
x^2 - 12 + 12 = 13 + 12
x^2 = 25
Step 2: Take the square root of both sides of the equation to solve for x:
√x^2 = √25
x = ±5
So the solutions to the equation x^2 - 12 = 13 are x = 5 and x = -5.