Solve for u 3u2 30u 12 u Type an exact answer using radic

Solve for u. 3u^2 = 30u - 12 u = (Type an exact answer, using radicals as needed. Use a comma to separate answers as needed. Express complex numbers in terms of i.)

Solution

3u^2 = 30 u - 12

divide by 3

u^2 = 10u - 4

u^2 - 10u + 4 = 0

u = [10 +/- sqrt (100 - 16)]/2

u1 = (5 + sqrt 21) OR u2 = (5 - sqrt 21)