Math miscellaneousHard
Question
How many real solutions does the equation. x7 + 14x5 + 16x3 + 30x - 560 = 0 have :-
Options
A.5
B.7
C.1
D.0
Solution
f′(x) > 0 ∀ x ∈ R
So function f|x| is increasing in whole domain
R and
x → - ∞ f(x) < 0
x → ∞ f(x) > 0
so exactly one real root lie in (-∞, ∞)
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