Quadratic Equat...

 The number of real roots of the equation $$(x - 1)^2 + (x - 2)^2 + (x- 3)^2 = 0$$ is :

If $$\alpha, \beta$$ are the roots of $$ax^2+bx+c=0$$ and $$\alpha +k, \beta +k$$ are the roots of $$px^2+qx+r=0$$, then $$\displaystyle\frac{b^2-4ac}{q^2-4pr}$$ is equal to:

The root of the equation $$2(1+i)x^2-4(2-i)x-5-3i=0$$, where $$i=\sqrt{-1}$$, which has eater modulus is

For the expression $$ax^2 + 7x + 2$$ to be quadratic, the necessary condition is

Which of the following is a quadratic polynomial in one variable?

The roots of the equation $$\sqrt{3y + 1} = \sqrt{y - 1}$$  are?

If the discriminant of $$3x^{2}-14x+k=0$$ is $$100$$, then $$k=$$

The discriminant (D) of $$\sqrt{x^{2}+x+1}=2$$ is:

A quadratic equation in $$x$$ is $$ax^2 + bx + c = 0$$, where $$a, b, c$$ are real numbers and the other condition is

The discriminant of $$ax^{2}-(a+b)x+b=0$$ is: