Home
Class 11
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

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 solution does the equation x^(7)+14x^(5)+16x^(3)+30x-560=0 have?

How many real solutions does the equation x^(7)+14x^(5)+16x^(3)+30x-560=0 have? (1)7(2)1(3)3(4)5

Find the solutions of the equation : 3x^2 - 7x - 6 = 0

Maximum number of real solution does the equation x^(7)+ax^(5)+bx^(3)+cx-d=0 can have?

How many real roots does the quadratic equation f(x) = x^(2) + 3 |x|+2 = 0 have ?

How many solution does the pair of equations x + y = 1 and x + y= -5 have?