Solve :
(i) `x(x+1)+(x+2)(x+3)=42`
(ii) `(1)/(x+1)-(2)/(x+2)=(3)/(x+3)-(4)/(x+4)`

Obtain the different coefficient of the following : (i) (x-1)(2x+5) (ii) (1)/(2x+1) (iii) (3x+4)/(4x+5) (iv) (x^(2))/(x^(3)+1)

If x=3+2sqrt(2) , find : (i) (1)/(x) (ii) x-(1)/(x) (iii) (x-(1)/(x))^(3) (iv)x^(3)-(1)/(x^(3))

Solve : (i)" "((x-1)\(x-2)(x-3))/((x+1)(x+2)(x+3))" "(ii) " "(x^(4)+x^(2)+1)/(x^(2)+4x-5)lt0

Solve : (i) sqrt((x)/(x-3))+sqrt((x-3)/(x))=(5)/(2) (ii) ((2x-3)/(x-1))-4((x-1)/(2x-3))=3

Solve: (4x+2)/(2x+1)+(3x+2)/(4)=(x+4)/(4)

Solve : (5x)/(4)gt (4x-1)/(3) and 4x + 3 lt (2x + 1)/(3)

Find the products: (i) (2x+3y)\ (2x-3y) (ii) (x-1)(x+1)(x^2+1)(x^4+1)

Solve for : x :(x-1)/(x-2)+(x-3)/(x-4)=3 1/3,x!=2,4

Check whether the following are quadratic equation (i) (x+1)^2=2(x-3) (ii) x^2-2x=(-2)(3-x) (iii) (x-2)(x+1)=(x-1)(x+3) (iv) (x-3)(2x+1)=x(x+5) (v) (2x-1)(x-3)=(x+5)(x-1) (vi) x^2+3x+1=(x-2)^2 (vii) (x+2)^3=2x(x^2-1) (viii) x^3-4x^2 – x + 1 = (x – 2)^3

Solve : (x-2)/4+1/3=x-(2x-1)/3