separate 1/x(x+2) into partial fraction
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=1/x(x+2)=a/x+b/(x+2). -(I)
cross multiplication
1=a(x+2) + bx
now put x=(-)2
so, 1=a(0) -2b
1=-2b
【b=-1/2】
now again put x=0 then
1=2a+b(0)
so 【a=1/2】
put value of a and b in equation (I).
then
【1/x(x+2)=1/2x - 1/2(x+2)】
transformation complete.
cross multiplication
1=a(x+2) + bx
now put x=(-)2
so, 1=a(0) -2b
1=-2b
【b=-1/2】
now again put x=0 then
1=2a+b(0)
so 【a=1/2】
put value of a and b in equation (I).
then
【1/x(x+2)=1/2x - 1/2(x+2)】
transformation complete.
rohan80864:
Superb
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