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" (ii) "(1)/(x-3)-(1)/(x+5)=(1)/(6)(x!=3...

" (ii) "(1)/(x-3)-(1)/(x+5)=(1)/(6)(x!=3,-5)

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solve for x,(1)/(x-3)-(1)/(x+5)=(1)/(6)

Solve: (1)/(x-3)+(1)/(x+5)=(1)/(6) .

Solve the equation (1)/(3)(x+1)-(1)/(2)(x-1)=(5)/(6)(x+1)

((1)/(x-3)-(3)/(x(x^(2)-5x+6)))

Assertion (A) : (1)/(5)+(1)/(3.5^(3))+(1)/(5.5^(5))+(1)/(7.5^(7))+…(1)/(2)log((3)/(2)) Reason (R ) : If |x| lt 1 then log_(e )((1+x)/(1-x))=2(x+(x^(3))/(3)+(x^(5))/(5)+…)

Add: (3x^(2) - (1)/(5)x + (7)/(3)) + ((-1)/(4)x^(2) + (1)/(3)x - (1)/(6)) + (-2x^(2) - (1)/(2)x + 5)

((6)/(3x-1))=((9)/(5x-3))

Add :5x^(2)-(1)/(3)x+(5)/(2),-(1)/(2)x^(2)+(1)/(2)x-(1)/(3) and -2x^(2)+(1)/(5)x-(1)/(6)

(x-1)/(3)+(2x+5)/(6)=(3x-6)/(9)-(2x-5)/(2)

3((7x+1)/(5x-3))-4((5x-3)/(7x+1))=11;x!=(3)/(5),-(1)/(7)