SOLUTION: 2x^2/3-7x^1/3=4 Says to solve

Algebra ->  Inequalities -> SOLUTION: 2x^2/3-7x^1/3=4 Says to solve      Log On


   

Question 357725: 2x^2/3-7x^1/3=4
Says to solve
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
2x%5E%282%2F3%29-7x%5E%281%2F3%29=4
This is a quadratic equation in disguise.
Use a substitution, u=x%5E%281%2F3%29
u%5E2=x%5E%282%2F3%29
2u%5E2-7u=4
2u%5E2-7u-4=0
%282u%2B1%29%28u-4%29=0
Two solutions:
2u%2B1=0
2u=-1
u=-1%2F2
x%5E%281%2F3%29=-1%2F2
highlight%28x=-1%2F8%29
.
.
.
u-4=0
u=4
x%5E%281%2F3%29=4
highlight%28x=64%29