Let f(x) = x 4 +x 2 -6 . Findthe zeros of f(x) and choose the appropriaterespons
ID: 3090780 • Letter: L
Question
Let f(x) = x4+x2-6 . Findthe zeros of f(x) and choose the appropriateresponse.A. f(x) has no real zeros B. f(x) has exactly 1 real zero C. f(x) has exactly 2 real zeros D. f(x) has exactly 3 real zeros E. f(x) has exactly 4 real zeros F. f(x) has more than 4 real zeros Thanks for your help!!! Let f(x) = x4+x2-6 . Findthe zeros of f(x) and choose the appropriateresponse.
A. f(x) has no real zeros B. f(x) has exactly 1 real zero C. f(x) has exactly 2 real zeros D. f(x) has exactly 3 real zeros E. f(x) has exactly 4 real zeros F. f(x) has more than 4 real zeros Thanks for your help!!!
Explanation / Answer
f(x) = x4+x2-6 canbe reduced to (x^2+3)(x^2-2)
therefore the zeros for thisfunction are x=+sqrt(2) and -sqrt(2)and+sqrt(3i) and -sqrt(3i)
so this function has 2 realzeros
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