Let (a \in R) and let (f: R \rightarrow R) be given by (f(x)... | Mathematics | SolveeIt | Solveeit

Today, August 23

Question

Let $a \in R$ and let $f: R \rightarrow R$ be given by $f(x)=x^{5}-5 x+a$ , then

A

$f(x)$ has three real roots if $a>4$

B

$f(x)$ has only one real roots if $a>4$

C

$f(x)$ has three real roots if $a < -4$

D

$f(x)$ has three real roots if $-4 < a < 4$

Answer

$f(x)$ has three real roots if $-4 < a < 4$

Explanation

Solution

Let $y = x^5- 5x$