Question

Using SET NOTATION, what is the solution set for the following equation? a² - 3 = 22

Answer 1

The solution set is $\{-5,5\}$

Explanation:

The given equation is $a^{2}-3=22$

To determine the solution set of the equation, let us solve the equation.

Adding both sides of the equation by 3, we have,

$a^2=25$

Taking square root on both sides of the equation, we get,

$a=\sqrt{25}, a=-\sqrt{25}$

$a=5, a=-5$

Thus, the solution of the equation is $a=5, a=-5$

The solution set of the equation is the set which contains all the solutions of the equations.

Thus, writing the solutions of the equation using set notation, we have,

$\{-5,5\}$

Thus, the solution set is $\{-5,5\}$