Solve the quadratic equation `2x^2+ax−a ^2 =0` for x

Solve the quadratic equation. 8x ^2−22x−21=0

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

Use formula to solve the quadratic equation : x^2 + x - (a + 1) (a + 2) = 0.

Solve the quadratic equation 2x^2-4x+3=0 by using the general expressions for the roots of a quadratic equation.

If the roots of the quadratic equation x^2 - ax + 2b = 0 are prime numbers, then the value of (a-b) is

Solve the quadratic equation 9x^2-15 x+6=0 by the method of completing the square.

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

Let x_(1),x_(2) are the roots of the quadratic equation x^(2) + ax + b=0 , where a,b, are complex numbers and y_(1), y_(2) are the roots of the quadratic equation y^(2) + |a|yy+ |b| = 0 . If |x_(1)| = |x_(2)|=1 , then prove that |y_(1)| = |y_(2)| =1

The roots of the quadratic equation 2x^2 - x - 6 = 0 are