SOLUTION: Solve the equation for the variable x. The constrants a and b represent positive real numbers: {{{x^4 + 5ax^2 + 4a^2 = 0}}}

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Solve the equation for the variable x. The constrants a and b represent positive real numbers: {{{x^4 + 5ax^2 + 4a^2 = 0}}}      Log On


   

Question 563771: Solve the equation for the variable x. The constrants a and b represent positive real numbers:
x%5E4+%2B+5ax%5E2+%2B+4a%5E2+=+0
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
x^4 + 5ax^2 + 4a^2 = 0
let u=x^2
u^2=x^4
u^2+5au+4a^2=0
(u+4a)(u+a)=0
u+4a=0
u=-4a
x^2=-4a
no real solution
or
u+a=0
u=-a
x^2=-a
Also, no real solution