Solve: 4x^3-24 x^2+44 x-24 >0 ....

Solve: `4x^3-24 x^2+44 x-24 >0` .

Text Solution

Verified by Experts

Given,`4x^3-24 x^2+44 x-24 >0`
Divide each term by 4 and simplify.
`x^3−6x^2+11x−6=0 `
Factor the left side of the equation.
`(x−1)(x−3)(x−2)=0`
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0
. ...

Doubtnut Promotions Banner Desktop Dark

Doubtnut Promotions Banner Mobile Dark

|

Topper's Solved these Questions

HIGHER ORDER DERIVATIVES
RD SHARMA|Exercise Solved Examples And Exercises|176 Videos
INDEFINITE INTEGRALS
RD SHARMA|Exercise Solved Examples And Exercises|1401 Videos

Similar Questions

Explore conceptually related problems

Solve: 4x^(3)-24x^(2)+44x-24>0

Solve :4x^(3)-24x^(2)+44x-24>0

Knowledge Check

In the expression 24 -[2.4 -{0.24 xx 2- (0.024 - x)}] = 22.0589 , the value of x is

A

`0.0024`

B

`0.024`

C

`0.24`

D

`2.4`

Similar Questions

Explore conceptually related problems

Solve 4x+3y=24 ; 3y-2x=6

x^(2)-10x-24=0

Solve: (x^(2)-2x+24)/(x^(2)-3x+4)<=4

Solve 4^(x)-10.2^(x-1)=24

Verify Rolle's theorem for the function f(x) = x^(3) - 9x^(2) + 26x -24 in the interval [2.4]

Solve 2x+ 3y= 11 and 2x-4y= -24 and hence find the value of 'm' for which y= mx+ 3.

The centre of the hyperbola y^(2)-4x^(2)-8y-24x-24=0 is

RD SHARMA-INCREASING AND DECREASING FUNCTION -Solved Examples And Exercises

Show that the function f given by f(x)=tan^(-1)(sinx+cosx), x" ">" "0 ...
03:31
|
Prove that the function f(x)=tanx-4x is strictly decreasing on (-pi//3...
02:50
|
Solve: 4x^3-24 x^2+44 x-24 >0 .
03:39
|
Solve: 1/(x+1)-4/((2+x)^2)>0,\ \ x!=-1,\ -2 .
01:24
|
Solve: (1+x^2)/(x^2-5x-6)<0
04:21
|
Sol v e(8x^2+16 x-51)/(2x^2+5x-12)>3
04:04
|
Solve: (x^2-2x+5)/(3x^2-2x-5)>1/2 .
08:51
|
Solve: (x^2-2x+24)/(x^2-3x+4)lt=4 .
04:34
|
Solve: (x^2-4x+7)/(x^2-7x+12)lt=2/3 .
02:08
|
Show that the function f(x)=2x+3 is strictly increasing function on...
00:53
|
Show that the function f(x)=x^2 is strictly increasing function on ...
01:13
|
Show that the function f(x)=a^x ,\ a >1 is strictly increasing on Rdot
01:16
|
Show that the function f(x)=-3x+12 is strictly decreasing function ...
00:57
|
Show that the function f(x)=a^x ,\ 0<a<1 is strictly decreasing on R .
01:18
|
Show that the function f(x)=x^2 is a strictly decreasing function o...
01:10
|
Show that the function f(x)=x^2 is neither strictly increasing nor ...
01:49
|
Prove that the function f(x)=(log)e x is increasing on (0,\ oo) .
00:56
|
Prove that the function f(x)=(log)a x is increasing on (0,\ oo) if a >...
01:32
|
Prove that f(x)=a x+b , where a ,\ b are constants and a >0 is an incr...
00:57
|
Prove that f(x)=a x+b , where a ,\ b are constants and a<0 is a decrea...
00:59
|