Question

The solution set of x^2+12=21

Answer 1

The solution set of the equation is: x = -3, x = 3.

How to Find the Solutions to an Equation?

Given the equation, x² + 12 = 21, the solution set is the possible value of x that will make the equation true. To find the values of x, do the following as shown below:

x² + 12 = 21

Subtract 21 from both sides of the equation

x² + 12 - 21 = 21 - 21

x² + 12 - 21 = 0

x² - 9 = 0

Find the difference of the two squares

(x + 3)(x - 3) = 0

x = -3

x = 3

Therefore, the solution set of the equation is: x = -3, x = 3.

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