SOLUTION: x^4-10x^2=16 : Find the real-number solutions of the equation.

Algebra ->  Real-numbers -> SOLUTION: x^4-10x^2=16 : Find the real-number solutions of the equation.      Log On


   

Question 856134: x^4-10x^2=16 : Find the real-number solutions of the equation.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E4-10x%5E2=16+
Complete the square.
x%5E4-10x%5E2%2B25=16%2B25
%28x%5E2-5%29%5E2=41
%28x%5E2-5%29=0+%2B-+sqrt%2841%29
Use only positive right hand side.
x%5E2=5%2Bsqrt%2841%29
x=0+%2B-+sqrt%285%2Bsqrt%2841%29%29