Solve the quadratic equation: `x^(2)+2bx-(a^(2)-b^(2))=0`

Solve the quadratic equation x^(2)+x-(a+2)(a+1)=0

Show that the roots of the quadratic equation x^(2)-2(a+b)x+2(a^(2)+b^(2))=0 can not be real.

Solve each of the following quadratic equations: x^(2)-2ax-(4b^(2)-a^(2))=0

Solve the following quadratic equation for x:4x^(2)+4bx-(a^(2)-b^(2))=0

Find the roots of each of the following equations, if they exist, by applying the quadratic formula: 4x^(2)+4bx-(a^(2)-b^(2))=0

Solve each of the following quadratic equations: 4x^(2)-4a^(2)x+(a^(4)-b^(4))=0

Solve the following quadratic equation: x^(2)-(3sqrt(2)-2i)x-sqrt(2)i=0

Find the roots of the quadratic equation a^(2)b^(2)x^(2)+b^(2)x-a^(2)x-1=0

Find the roots of the quadratic equation: a^(2)b^(2)x^(2)+b^(2)x-a^(2)x-1=0

Solve each of the following quadratic equations: x^(2)-(2b-1)x+(b^(2)-b-20)=0