TS EAMCET · Maths · Quadratic Equation
If \(\frac{2 x-1}{2 x-x-6}=a x+b+\frac{A}{p x-2}+\frac{B}{2 x+q}\) then \(51 \mathrm{apB}=\)
- A \(23 b q A\)
- B \(69 b q A\)
- C \(7 b q A\)
- D \(17 b q A\)
Answer & Solution
Correct Answer
(A) \(23 b q A\)
Step-by-step Solution
Detailed explanation
\(\frac{2 x^3+1}{2 x^2-x-6}=a x+b+\frac{A}{p x-2}+\frac{B}{2 x+q}\)...(i) \(\frac{2 x^3+1}{2 x^2-x-6}=x+1+\frac{\left(x+\frac{1}{2}\right)}{(x-2)(2 x+3)}\) (By long division method)…
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