SOLUTION: Find all the real solutions of the following equation as a quadratic equation. 6n^2/3 + n^1/3 - 15 = 0

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Find all the real solutions of the following equation as a quadratic equation. 6n^2/3 + n^1/3 - 15 = 0       Log On


   

Question 465915: Find all the real solutions of the following equation as a quadratic equation.
6n^2/3 + n^1/3 - 15 = 0

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!

==> 2n%5E%281%2F3%29+-+++3+=+0 or 3n%5E%281%2F3%29++%2B+5+=+0
<==> n%5E%281%2F3%29+=+3%2F2 or n%5E%281%2F3%29+=+-5%2F3
<==> n+=+%283%2F2%29%5E3+=+27%2F8 or n+=+%28-5%2F3%29%5E3+=+-125%2F27.
Both values would satisfy the original equation, and thus they are the final answers.