SOLUTION: Find all real solutions of the equation. x^3/2 + 18x^1/2 + 81x^−1/2 = 0

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Find all real solutions of the equation. x^3/2 + 18x^1/2 + 81x^−1/2 = 0      Log On


   

Question 895792: Find all real solutions of the equation.
x^3/2 + 18x^1/2 + 81x^−1/2 = 0
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E%283%2F2%29%2B18sqrt%28x%29%2B81%2Fsqrt%28x%29=0
Multiply by sqrt%28x%29%2Fsqrt%28x%29,
%28x%5E2%2B18x%2B81%29%2Fsqrt%28x%29=0
%28x%2B9%29%5E2%2Fsqrt%28x%29=0
x=-9