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

Answer:

u = $-\frac{1}{2}$   ;  u = $-\frac{3}{2}$

Step-by-step 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 = $-\frac{1}{2}$   ;  u = $-\frac{3}{2}$