Solve the following quadratic equation using square roots: (x+3)^2=36
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To solve the equation (x+3)^2 = 36, you need to find the value of x that makes the equation true.
First, take the square root of both sides of the equation:
(x+3)^2 = 36
Taking the square root of both sides gives you:
x+3 = ±√36
Next, simplify the square root of 36:
x+3 = ±6
Now, solve for x by subtracting 3 from both sides:
x = -3 ±6
This gives you two possible solutions for x:
x = -3 + 6 = 3
x = -3 - 6 = -9
Therefore, the solutions to the equation (x+3)^2 = 36 are x = 3 and x = -9.