Home
Class 12
MATHS
How many real solutions does the equatio...

How many real solutions does the equation `x^7+14 x^5+16 x^3+30 x-560=0` have?

A

1

B

3

C

5

D

7

Text Solution

Verified by Experts

The correct Answer is:
A
Let `f(x)=x^(7)+14x^(5)+16x^(3)+30x-560`
`:'f'(x)=7x^(6)+70x^(4)+48x^(2)+30gt0, AA x epsilonR`
`impliesf(x)` is an increasing function, for all `x epsilonR`
Hence number of real solution is 1.
Promotional Banner

Similar Questions

Explore conceptually related problems

How many real solutions of the equation 6x^(2)-77[x]+147=0 , where [x] is the integral part of x ?

The number of real solution of the equation x^(2)=1-|x-5| is

The number of real solution of the equation e^(x)+x=0, is

The number of real solutions of the equation log_(0.5)x=|x| is

The sum of the solutions of the equations 9^(x) - 6.3^(x) +8 = 0 is

The number of real solutions of the equation sin(e^x)=2^x+2^(-x) is

The real solutions of the equation cos^(7)x+sin^(4)x=1 in (-pi,pi) are ………….

How many real numbers x satisfy the equation 3^(2x+2)-3^(x+3)-3^(x)+3 = 0 ?

If x = 2k + 1 and y = k is a solutions of the equation 5x + 3y - 7 = 0, find the value of k.

The number of real solution of equation Sin(e^x) = 5^x + 5^(-x) is :