Question

Solve for u.

4u²+3=-8u
If there is more than one solution, separate them with commas.
If there is no solution, click on "No solution."

Answer 1

u =
`-(1)/(2)` ; u =
`-(3)/(2)`

Explanation:

4u² + 3 = -8u

4u² + 3 + 8u = -8u + 8u (add 8u both sides)

4u² + 8u + 3 = 0 simplify

using quadratic equation:

- 8 ± √ (8² - 4 * 4 *3)

u = ------------------------------

2 * 4

u =
`-(1)/(2)` ; u =
`-(3)/(2)`