Quadratic Equat...

In quadratic equation $$ax^2 + bx + c = 0$$, If discriminant $$D = b^2 - 4ac$$, then roots of quadratic equation are :

Minimum value of the expression $$cos^{2} \theta -(6sin \theta . cos \theta )+3 sin^{2} \theta +2$$ , is -

To expand $$\left(4 -\dfrac{3}{x^2}\right)^{\dfrac{-1}{2}}$$ as the sum of infinite series, then [x] is greater than 

The sun of the values of $$x$$ satisfying the equation $${ \left( 31+8\sqrt { 150 }  \right)  }^{ { x }^{ 2 }-3 }+1={ \left( 32+8\sqrt { 150 }  \right)  }^{ { x }^{ 2 }-3 }$$ is

What is the value of the discriminant for the quadratic equation:
$$\sqrt 2 {x^2} - 5x + \sqrt 2  = 0$$

Find the roots of the following complenting the square.

The discriminant of $$\sqrt{3}x^{2}-2\sqrt{2}x-2\sqrt{3}=0$$  is ......................

Let $$\alpha ,\beta $$ be the roots of $$a{ x }^{ 2 }+bx+c=0(a\neq 0)$$ and $$\gamma ,\delta $$ be the roots of $$p{ x }^{ 2 }+qx+r=0(p\neq 0)$$, and $${ D }_{ 1 },{ D }_{ 2 }$$ be the respective discriminants of these equations. If $$\alpha ,\beta ,\gamma ,\delta $$ are in A.P., then $${ D }_{ 1 },{ D }_{ 2 }$$ equals

Out of the following_____________is not a quadratic equation.

What is the standard form of quadratic equation $$9 =  - {x^2} + 13x?$$