Question

How do you solve the quadratic equation by completing the square: `x^2 - 8x = 7`?

Answer 1

Solve y = x^2 - 8x -7 = 0

Explanation:

`x^2 - 8x = 7`
`x^2 - 8x + 16 = 7 + 16`
`(x - 4)^2 = 23 -> (x - 4) = +- sqrt23`

`x = 8/2 +- sqrt23 = 4 +- sqrt23`