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If((x + 1 ))/((2x - 1 ) (3x + 1 ))= (A)/((2x - 1 ))+ (B)/((3x+ 1)) , then16 A +9 Bisequalto |
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Answer» 4 ` rArrx + 1= A (3x + 1 ) + B(2x - 1) ` ` rArrx + 1=x (3A + 2B)+(A -B) ` `3A +2B = 1` ` A -B = 1` ` rArrA =1 + B ` ` 3( 1 + B)+2B =1` `rArr3+5B = 1` ` B = (-2)/(5) ` ` A =1+B =1-( 2 ) /(5) ` ` A =(3)/(5) ` `therefore16 A +9B =16 ((3)/(5)) +9 ((-2)/(5)) =(30)/(5)= 6 ` |
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