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

Only give one answer

1 answer

Taking the square root of both sides of the equation, we have:

√((x+3)^2) = √36

Simplifying the left side of the equation, we have:

x + 3 = ±√36

Since we only need one answer, we can take the positive square root:

x + 3 = √36

Simplifying further, we have:

x + 3 = 6

Subtracting 3 from both sides of the equation, we have:

x = 6 - 3

x = 3

Therefore, the solution to the quadratic equation (x+3)^2 = 36 is x = 3.