Question

How do you solve the quadratic equation by completing the square: `2x² - 5x - 12 = 0`?

Answer 1

Solve `y = 2x^2 - 5x - 12 = 0`

x = 5/2 +- 7/2

Explanation:

`2(x^2 - (5x)/2 + 25/4) = 12 + 25/2`
`(x^2 - (5x)/2 + 25/4 = 6 + 25/4 = 49/4`
`(x - 5/2)^2 = 49/4` --> `(x - 5/2) = +- 7/2`

`x = 5/2 +- 7/2`