Question

Solve the following quadratic equation using square roots: (x+12)2=9
.(1 point)
Responses

{−7.5,−16.5}
left brace negative 7.5 comma negative 16.5 right brace

{−9,−15}
left brace negative 9 comma negative 15 right brace

{15,9}
left brace 15 comma negative 9 right brace

{−3,−21}

Answer 1

To solve the equation (x+12)^2 = 9, first take the square root of both sides:

√((x+12)^2) = √9
x + 12 = ±3

Now solve for x by subtracting 12 from both sides:

x = -12 ± 3

This gives us two possible values for x:

x = -12 + 3 = -9
x = -12 - 3 = -15

So the solution to the quadratic equation is {−9,−15}.