solve the following quadratic equation using square roots: (x+3)^2 = 36

Answer 1

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.