Solve.
-$$m ^ { 2 / 5 } + 2 m ^ { 1 / 5 } - 24 = 0$$
A) 1024
B) $1024 , - 7776$
C) $- 1024,7776$
D) $1,048,576,60,466,176$

Question

Quizplus · Accepted Answer

This equation can be solved by substituting $u = m^{1/5}$, which transforms the equation into a quadratic form: $u^2 + 2u - 24 = 0$. Solving this quadratic equation yields $u = 4$ and $u = -6$. Reverting back to the original variable $m$ gives $m = 1024$ when $u = 4$ (since $1024^{1/5} = 4$) and $m = -7776$ when $u = -6$ (since $(-7776)^{1/5} = -6$).

Solve - m2/5+2m1/5−24=0m ^ { 2 / 5 } + 2 m ^ { 1 / 5 } - 24 = 0m2/5+2m1/5−24=0

Solve
- $m ^ { 2 / 5 } + 2 m ^ { 1 / 5 } - 24 = 0$