SOLUTION: find all zeroes f(x)=25x^8-226x^4+9

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Question 1091096: find all zeroes

f(x)=25x^8-226x^4+9
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)=25x^8-226x^4+9
f(x)=(25x^4-1)(x^4-9)
""=(5x²+1)(5x²-1)(x²+3)(x²-3)
""=(5x²+1)(x√5+1)(x√5-1)(x²+3)(x+√3)(x-√3)
x=+/- 1/√5,+/- √3
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