Find the roots of `x^2-2x-(r^2-1)=0 `

Find the roots of 2x^2-3x-1=0 .

Find the roots of x^2+2x+5=0 .

Find the roots of 3x^(2)-5x+2=0

Find the roots x^(2)+5x-1=0

Find the roots of (55)/(24)x+x^2-1=0 .

Find the roots of 2x^2-x-6=0 by factorization

Find the common roots of x^(12)-1=0 and x^(4)+x^(2)+1=0

Find the equation whose roots are 2 times the roots of x^(5)+2x^(2)-4x+1=0

If alpha and beta are the roots of x^(2)-x-2=0 , find the quadratic equation in x whose roots are (2alpha+1) and (2beta+1):