Quadratic Equat...

Find the value of discriminant for the following equation.

Find $$m$$, if the quadratic equation $$(m\, -\, 1)\, x^{2}\, -\, 2\, (m\, -\, 1)\, x\, +\, 1\, =\, 0$$ has real equal roots.

Find c, if the quadratic equation $$x^{2}\, -\, 2\, (c\, +\, 1)\, x\, +\,  c^{2}\, =\, 0 $$ has real and equal roots. 

Find the value of discriminant for the following equation.

Solve the equation using formula.

Which constant should be added and subtracted to solve the quadratic equation $$4{ x }^{ 2 }-\sqrt { 3 } x-5=0$$ by the method of completing the square?

The value of $$p$$ for which the equation $$x^2+4=(P+2)x $$ has equal roots?

The ratio of the roots of the equation $$a{ x }^{ 2 }+bx+c=0$$ is same as the ratio of the roots of the equation $$p{ x }^{ 2 }+qx+r=0$$. If $${ D }_{ 1 }$$ and $${ D }_{ 2 }$$ are the discriminants of $$a{ x }^{ 2 }+bx+c=0$$ and $$p{ x }^{ 2 }+qx+r=0$$ respectively, then $${ D }_{ 1 }:{ D }_{ 2 }$$ is equal to

The given equation $$\displaystyle (x + 1)^2 = 2 (x - 3)$$ is

Check whether the following is a quadratic equation.