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

The solution set is

Explanation:

The given equation is

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

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

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

Thus, the solution of the equation is

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,

Thus, the solution set is

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

answer: this is not a question

step-by-step explanation: this is a answer