AP EAMCET · Maths · Basic of Mathematics
If \(\frac{17 x-2}{12 x^2-x-20}=\frac{A}{a x+5}+\frac{B}{3 x+b}\) then \(a \cdot A+b \cdot B=\)
- A \(0\)
- B \(4\)
- C \(7\)
- D \(10\)
Answer & Solution
Correct Answer
(B) \(4\)
Step-by-step Solution
Detailed explanation
Given \(\frac{17 x-2}{12 x^2-x-20}=\frac{A}{(a x+5)}+\frac{B}{3 x+b}...(i)\) Now \(\frac{17 x-2}{12 x^2-x-20}=\frac{17 x-2}{(3 x-4)(4 x+5)}\) By using partial fraction, RHS can be written as:…
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