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

Simplify and find the value of x: 1/((x-1)(x-2))+1/((x-2)(x-3))=2/3, x!= 1,2,3

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

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

lim_(x rarr 2) (sqrt(x^(3)-2x^(2)+2x-3)-1)/(x-2)= ______.

Check whether the following are quadratic equations : (i) (x-2)^2+1=2x-3 (ii) x(x+1)+8=(x+2)(x-2) (iii) x(2x+3)=x^2+1 (iv) (x+2)^3=x^3-4

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

Find the sum of n terms of the sequence (x+1/x)^2,(x^2+1/(x^2))^2,(x^3+1/(x^3))^2,

[((x+1)^(2)(x-x+1)^(2))/((x^(3)+1)^(2))]^(-2)xx[((x-1)^(2)(x^(2)+x+1)^(2))/((x^(3)-1)^(2))]^(2)-(1)/(b-c) where x!=1 and 10>b>c>4.b and c both positive integer. Find the number of possible order pair of (b,c).

If sqrt((2x^(2)+x+2)/(x^(2)+3x+1))+2"."sqrt((x^(2)+3x+1)/(2x^(2)+x+2))-3=0 , find x.

Find the sum to n terms of the sequence (x+1/x)^(2),(x^(2)+1/x)^(2),(x^(3)+1/x)^(2),...