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

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

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Question 563771: Solve the equation for the variable x. The constrants a and b represent positive real numbers:

Answer by lwsshak3(11628) (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
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