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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.