SOLUTION: Hello, need help in finding the zeros of this function. f(X)= x^4-7x^2+10

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Hello, need help in finding the zeros of this function. f(X)= x^4-7x^2+10      Log On


   

Question 363154: Hello,
need help in finding the zeros of this function.
f(X)= x^4-7x^2+10
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
What if you did a substitution,
u%5E2-7u%2B10=0
How would you find the zeros??
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You can factor,
x%5E4-7x%5E2%2B10=0
%28x%5E2-2%29%28x%5E2-5%29=0
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x%5E2-2=0
x%5E2=2
highlight%28x=0+%2B-+sqrt%282%29%29
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.
x%5E2-5=0
x%5E2=5
highlight%28x=0+%2B-+sqrt%285%29%29