Question: If $\frac{3x + 4}{x^{2} - 3x + 2} = \frac{A}{x - 2} - \frac{B}{x - 1}$,then $(A,B) =$...

Question

If $\frac{3x + 4}{x^{2} - 3x + 2} = \frac{A}{x - 2} - \frac{B}{x - 1}$ ,then $(A,B) =$

Answer 1

$3x + 4 = A(x - 1) - B(x - 2)$

$\Rightarrow$ $\frac{1}{2} \leq \log_{0.1},x \leq 2$ $4 = - A + 2B$

$\Rightarrow$ $A = 10,B = 7$

$\therefore$ $(A,B) = (10,7)$ .

Question: If \(\frac{3x + 4}{x^{2} - 3x + 2} = \frac{A}{x - 2} - \frac{B}{x - 1}\),then \((A,B) =\)...