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Solve the following quadratic equation by completing the square.
x2−2x=323
The first step is to move the constant term to the right side of the equation:
x^2 - 2x = 3
x^2 - 2x + 1 = 3 + 1
(x - 1)^2 = 4
Next, take the square root of both sides:
x - 1 = ±2
Finally, solve for x:
x = 1 + 2 or x = 1 - 2
x = 3 or x = -1
Therefore, the solutions to the quadratic equation x^2 - 2x = 3 are x = 3 and x = -1.