solve the following quadratic equation using square roots: (x+3)^2 = 36
To solve the quadratic equation (x+3)^2 = 36 using square roots, we can take the square root of both sides of the equation:
√((x+3)^2) = √(36)
Simplifying:
x + 3 = ±√36
x + 3 = ±6
Now, we can isolate x by subtracting 3 from both sides of the equation:
x = -3 ± 6
Simplifying further:
x = -3 + 6 or x = -3 - 6
x = 3 or x = -9
Hence, the solutions to the quadratic equation (x+3)^2 = 36 are x = 3 and x = -9.