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Solve the following quadratic equation by completing the square.
x2−2x=323
(1 point)
To solve the equation x^2 - 2x = 32 by completing the square, we first move the constant term to the right side of the equation:
x^2 - 2x = 32
x^2 - 2x + 1 = 32 + 1
(x - 1)^2 = 33
Now, we take the square root of both sides:
x - 1 = ±√33
Finally, we solve for x:
x = 1 ± √33
Therefore, the solutions to the quadratic equation x^2 - 2x = 32 are x = 1 + √33 and x = 1 - √33.