Question

How do you solve `-4x^2 + 5x + 6 = 0`?

Answer 1

x = 2 and x = -3/4

Explanation:

Use the improved quadratic formula (Google, Yahoo Search)
`D = d^2 = b^2 - 4ac = 25 + 96 = 121` --> `d = +- 11`
`x = -b/(2a) +- d/(2a) = - 5/-8 +- 11/-8 = 5/8 +- 11/8`
`x = 16/8 = 2` and
`x = - 6/8 = -3/4`

NOTE. This improved formula is easier to remember and to proceed than the classical formula.