SOLUTION: What is the answer to this quadratic equation, x^4-2x^2-35=0 Step by step will be greatly appreciated. Thank you

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Question 635936: What is the answer to this quadratic equation, x^4-2x^2-35=0
Step by step will be greatly appreciated. Thank you

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E4-2x%5E2-35=0
let x^2=a
a%5E2-2a-35=0
a%5E2-7a%2B5a-35=0
a%28a-7%29%2B5%28a-7%29=0
%28a-7%29%28a%2B5%29=0
a= 7 OR a=-5
resubstitute a
x%5E2=+7+OR+x%5E2=+-5
x%5E2=7
x= +- (sqrt(7))
x%5E2=5
x^2= -1*5
x= +-(sqrt(-1) * sqrt(5))
x= +- (sqrt(5) i)
m.ananth@hotmail.ca