Please help: solve the quadratic equation by completing the square
X^2-2x-323
To solve this quadratic equation by completing the square, follow these steps:
1. Move the constant term to the other side of the equation:
x^2 - 2x = 323
2. Take half of the coefficient of x, square it, and add it to both sides of the equation:
x^2 - 2x + (-2/2)^2 = 323 + (-2/2)^2
x^2 - 2x + 1 = 323 + 1
3. Simplify the equation:
(x - 1)^2 = 324
4. Take the square root of both sides:
x - 1 = ±√324
x - 1 = ±18
5. Solve for x:
x = 1 + 18 or x = 1 - 18
x = 19 or x = -17
Therefore, the solutions to the quadratic equation x^2 - 2x - 323 = 0 are x = 19 and x = -17.