Question

Solve (u + 10) ^ (4/3) = 4 where u is a real

Simplify your answer as much as possible
(If there is more than one solution, separate with a comma

Answer 1

-7.17

Explanation:

`{(u + 10)}^{ (4)/(3) } = 4 \\ \\ u + 10 = {4}^{ (3)/(4) } \\ \\ u + 10 = ( {2}^(2) )^{ (3)/(4) } \\ \\ u + 10 = {2}^{2 * (3)/(4) } \\ \\ u + 10 = {2}^{ (3)/(2) } \\ \\ u + 10 = {8}^{ (1)/(2) } \\ \\ u + 10 = √(8) \\ \\ u + 10 = 2.82842712 \\ \\ u = 2.82842712 - 10 \\ \\ u = -7.17157288 \\ \\ u \approx-7.17`