If (x^(2)-5x+7)/(x-1)^(3)=A/(x-1)+B/(x-1...

If `(x^(2)-5x+7)/(x-1)^(3)=A/(x-1)+B/(x-1)^(2)+C/(x-1)^(3) " then " A+B-C=`

-5

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

PARTIAL FRACTIONS
AAKASH SERIES|Exercise EXERCISE - II|42 Videos
PARABOLA
AAKASH SERIES|Exercise EXERCISE -3.2 III.|5 Videos
PERMUTATIONS & COMBINATIONS
AAKASH SERIES|Exercise PRACTICE EXERCISE|163 Videos

Similar Questions

Explore conceptually related problems

If (x^(2)+5x+7)/(x-1)^(3)=A/(x-1)+B/(x-1)^(2)+C/(x-1)^(3) then the ascending order of A, B, C is

If (3x^(2)+x+1)/(x-1)^(4)=A/(x-1)+B/(x-1)^(2)+C/(x-1)^(3)+D/(x-1)^(4) " then " A+B-C+D=

If (x^(2)-10x+13)/((x-1)(x^(2)-5x+6))=A/(x-1)+B/(x-2)+C/(x-3) , then C =

If (3x+4)/((x+1)^(2)(x-1))=A/(x-1)+B/(x+1)+C/(x+1)^(2) " then " A=

If (x^(2)+5x+7)/((x-3)^(3))=(A)/((x-3))+(B)/((x-3)^(2))+(C)/((x-3)^(3)), then the equation of the line having slope A and passing through the point (B,C) is

Statement-I : If (x^(2)+3x+1)/(x^(2)+2x+1)=A+(B)/(x+1)+(C)/((x+1)^(2)) , then A+B+C=0 Statement-II: If (x^(2)+2x+3)/(x^(3))=A/x + (B)/(x^(2))+(C)/(x^(3)) , then A+B-C=0 Which of the above statements is true

If (2x^(2)+3x+4)/((x-1)(x^(2)+2))=A/(x-1)+(Bx+C)/(x^(2)+2), " then "B=

(x^(2)+x+1)/((x-1)(x-2)(x-3))=A/(x-1)+B/(x-2)+C/(x-3) rArr A+C=

AAKASH SERIES-PARTIAL FRACTIONS-PRACTICE EXERCISE

((x+1))/((2x-1)(3x+1))=A/((2x-1))+B/((3x+1)) rArr 16A+9B=
Text Solution
|
If (x^(2)+1)/((x^(2)+2)(x^(2)+3))=(A)/(x^(2)+3)+(B)/(x^(2)+2) then (A,...
Text Solution
|
If (x^(2)+x+1)/(x^(2)+2x+1)=A+B/(x+1)+C/(x+1)^(2) then A - B =
Text Solution
|
If (x^(2)-5x+7)/(x-1)^(3)=A/(x-1)+B/(x-1)^(2)+C/(x-1)^(3) " then " A+B...
Text Solution
|
Resolve the following into partial fractions. (3x^(2)-8x^(2) + 10)/(...
Text Solution
|
If (2x^(2)+5)/((x+1)^(2)(x-3))=(A)/(x+1)+(B)/((x+1)^(2))+(C)(x-3) then...
Text Solution
|
The partial fractions of (1)/(x^(2)(x+2)) are
Text Solution
|
If (x^(4))/((x-1)(x-2)(x-3))= A.x+B. (1)/((x-1))+C (1)/((x-2))+D. (1)/...
Text Solution
|
If (2x^(2)+3x+4)/((x-1)(x^(2)+2))=A/(x-1)+(Bx+C)/(x^(2)+2), " then "B=
Text Solution
|
If ((x+1)^(2))/(x(x^(2)+1))=(A)/(x)+(Bx+C)/(x^(2)+1) then cos^(-1)(A/C...
Text Solution
|
The partial fractions of ((x^(2)-1))/(x(x^(2)+1)) are
Text Solution
|
If (3x+2)/((x+1)(2^(2)+3))=(A)/(x+1)-(Bx+C)/(2x^(2)+3), then A+B-C=
Text Solution
|
For |x| lt 1, the constant term in the expansion of (1)/((x-1)^(2)(x-2...
Text Solution
|
Statement I : (2x-1)/((x+1)(x^(2)+2))=(A)/(x+1)+(3x+c)/(x^(2)+2) the...
Text Solution
|
If (x^(2)-10x+13)/((x-1)(x^(2)-5x+6))=(A)/(x-1)+(B)/(x-2)+(C)/(x-3) th...
Text Solution
|
If (x^(2)+13x+15)/((x-1)(x^(2)+2))=(A)/(x-1)+(Bx+C)/(x^(2)+2), then th...
Text Solution
|
If (1)/((1-2x)^(2)(1-3x))=(A)/(1-2x)+(B)/((1-2x)^(2))+(C)/(1-3x) then ...
Text Solution
|
Observe the following Lists ul("List - I") A) If (3x)/((x-a)(x-b))...
Text Solution
|
a : If 1/((x-2)(x^(2)+1))=A/(x-2)+(Bx+C)/(x^(2)+1) " then "A=1/5, B=-1...
Text Solution
|
Text Solution
|