x^(2)-x-a(a+1)=0

(x^(2)+4x+4)/(2x^(2)-x-1)>0

Determine whether the given values are the solution of the given equation ( i ) 3x^(2)-2x-1=0;x=1 (ii) x^(2)-x+1=0;x=1;x=-1

If alpha,beta are the roots of the equation x^(2)+x+1=0 , then the equation whose roots are alpha^(22)andbeta^(19) , is a) x^(2)-x+1=0 b) x^(2)+x+1=0 c) x^(2)+x-1=0 d) x^(2)-x-1=0

Solve : (x+2)(x+3)+(x-3)(x-2)-2x(x+1)=0

Solve: 2x^(2) + x+1=0

Find all the solutions of (x^(2)+x+2)^(2)-(x^(2)+x+1)(x^(2)+x+2)+(x^(2)+x+1)=0 .

Solve (x^2-2x-3)/(x+1)=0.