Quadratic Equat...

The number of values of $$a$$ for which $$(a^2-3a+2)x^2+(a^2-5a+6)x+a^2-4=0$$ is an identity in $$x$$ is-

Solve the following quadratic equation by completing the square: $$ x^2+(\sqrt{3}+1)x+\sqrt{3}=0$$

Solve the following quadratic equation by completing the square: $$ 4x^2+4bx-(a^2-b^2)=0$$

............... is true for discriminate of quadratic equation $$x^2 + x + 1 = 0$$.

The discriminant value of equation $$5{x}^{2}-6x+1=0$$ is ............... 

Solve the following quadratic equation by completing the square: $$\dfrac{5x+7}{x-1}=3x+2$$

If the roots of the equation $$x^{2} + px + c = 0$$ are $$(2, -2)$$ and the roots of the equation $$x^{2} + bx + q = 0$$ are $$(-1, -2)$$, then the roots of the equation $$x^{2} + bx + c = 0$$ are

Sum of the roots of the equation $${ \left| x-3 \right|  }^{ 2 }+\left| x-3 \right| -2=0$$ is

The equation $${ e }^{ \sin { x }  }-{ e }^{ -\sin { x }  }-4=0$$ has