Question

How do you solve using the completing the square method `-2x^2 - 7x + 4`?

Answer 1

`-1/2 and 4`

Explanation:

Transform the equation for easier computation -->
`2x^2 + 7x - 4 = 0`. Divide both sides by 2.
`x^2 + (7x)/2 = 2`
`x^2 + (7x)/2 + (7/4)^2 = 2 + 49/16`
`(x + 7/4)^2 = 81/16`
`(x + 7/4) = +- 9/4`
`x = 7/4 +- 9/4 = (7 +- 9)/4`
x = 4 and `x = -2/4 = -1/2`