Question

How do you solve `4x^2 + 3 = −12x`?

Answer 1

`x = -3/2 +- sqrt6/2`

Explanation:

`y = 4x^2 + 12x + 3 = 0`
Use the improved quadratic formula (Google, Yahoo Search)
`x = -b/(2a) +- d/(2a).`
`D = d^2 = b^2 - 4ac = 144 - 48 = 96` --> `d = +- 4sqrt6`
`x = - 12/8 +- 4sqrt6/8`
`x = -3/2 +- sqrt6/2`