TS EAMCET · Maths · Quadratic Equation
If the partial fraction decomposition of is , then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(D)
Step-by-step Solution
Detailed explanation
Given that x2+1x3+3x2+3x+2=Ax+2+Bx2+x+1+Cx+2x2+x+1 x2+1 = Ax2+x+1+Bx+2+C .....equation (i) Put x=-2 5=A4-2+1+c ⇒3A+C=5 Comparing coefficients on both the sides of equation (i) we get, A=1, A+B=0 ⇒B=-1 C=5-3A=2 ∴A-B+C=1+1+2=4.
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