Question

Solve the following quadratic equation using square roots: (x+3)2=36 .(1 point)

Answer 1

To solve the quadratic equation using square roots, we can first square root both sides of the equation to eliminate the square on the left side:

√((x+3)^2) = √36

Taking the square root of the left side, we have:

x + 3 = ± √36

Simplifying the right side, we have:

x + 3 = ± 6

Now we solve for x by subtracting 3 from both sides of the equation:

x = -3 ± 6

This gives us two possible solutions:

x = -3 + 6 = 3

and

x = -3 - 6 = -9

So the solutions to the quadratic equation are x = 3 and x = -9.