`3/(x-1)-2/(x-2)=1/(x-3)`

Solve for : :(3)/(x+1)-(1)/(2)=(2)/(3x-1),x!=(3)/(5),-(1)/(7)

Solve for : 3/(x+1)-1/2=2/(3x-1),x!=3/5,-1/7

(4x+1)/(3)+(2x-1)/(2)=6+(3x-7)/(5)

x^(3)+x^(2)-(1)/(x^(2))+(1)/(x^(3))=

Resolve (x^(3)+x-1)/((x^(2)+1)(x^(2)+2x+3)) into partial fractions.

Resolve (x^(3)+x-1)/((x^(2)+1)(x^(2)+2x+3)) into partial fractions.

Check whether the following are quadratic equations : (1) (x-1)^(2)=2(x-3) (2) x^(2)-2x=(-2)(3-x) (3) (x-2)(x+1)=(x-1)(x+3) (4) (x-3)(2x+1)=x(x+5) (5) (2x-1)(x-3)=(x+5)(x-1) (6) x^(2)+3x+1=(x-2)^(2) (7) (x+2)^(3)=2x(x^(2)-1) (8) x^(3)-4x^(2)-x+1=(x-2)^(3)

Evaluate: ("lim")_(xvecoo)(sqrt(3x^2-1)-sqrt(2x^2-1))/(4x+3)

Evaluate: ("lim")_(xvecoo)(sqrt(3x^2-1)-sqrt(2x^2-1))/(4x+3)

Evaluate: lim_(x->oo)(sqrt(3x^2-1)-sqrt(2x^2-1))/(4x+3)