SOLUTION: Find the solutions of the equation. 4x^4 + 37x^2 +9 = 0 I need to find both the real and complex solutions! Thanks!

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Find the solutions of the equation. 4x^4 + 37x^2 +9 = 0 I need to find both the real and complex solutions! Thanks!      Log On


   

Question 344307: Find the solutions of the equation.
4x^4 + 37x^2 +9 = 0
I need to find both the real and complex solutions!
Thanks!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
4x%5E4+%2B+37x%5E2+%2B9+=+0
You can factor this equation.
%284x%5E2%2B1%29%28x%5E2%2B9%29=0
Two solutions:
4x%5E2%2B1=0
4x%5E2=-1
x%5E2=-1%2F4
highlight%28x=0+%2B-+%281%2F2%29i%29 where i=sqrt%28-1%29
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.
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x%5E2%2B9=0
x%5E2=-9
highlight%28x=0+%2B-+3i%29 where i=sqrt%28-1%29