Late `a in R` and let `f: Rvec` be given by `f(x)=x^5-5x+a ,` then `f(x)` has three real roots if `a >4` `f(x)` has only one real roots if `a >4` `f(x)` has three real roots if `a<-4` `f(x)` has three real roots if `-4

Let a in R and let f: R to R be given by f(x) =x^(5) -5x+a. then

Let a in R and f : R rarr R be given by f(x)=x^(5)-5x+a , then (a) f(x)=0 has three real roots if a gt 4 (b) f(x)=0 has only one real root if a gt 4 (c) f(x)=0 has three real roots if a lt -4 (d) f(x)=0 has three real roots if -4 lt a lt 4

Find the real the real roots of x^(4)=16

f'(x) = x^(2) - 5x + 4 then f(x) is decreasing in

Find the value of a if x^3-3x+a=0 has three distinct real roots.

Find the value of a if x^3-3x+a=0 has three distinct real roots.

Find the value of k if x^3-3x+k=0 has three real distinct roots.

If f(x) = 0 has n roots, then f'(x) = 0 has ………..roots

f(x) is a polynomial function, f: R rarr R, such that f(2x)=f'(x)f''(x). Equation f(x) = x has (A) three real and positive roots (B) three real and negative roots (C) one real root (D) three real roots such that sum of roots is zero

A function f(x) is such that f(x)=0 has 8 distinct real roots and f(4+x)=f(4-x) for x in R . Sum of real roots of the equation f(x)=0 is