Real solution lost?
Algebra
Level
pending
How many real solution does the equation have?
7
3
2
6
5
1
4
Infinitely many
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1 solution
An odd degree polynomial function must have at least one real root.Now taking derivative of the polynomial function on LHS,we see all powers are even and all coefficients are also positive indicating f'(x)>0 always.Hence f(x) is monotonically increasing giving number of real roots equal to 1