$x=3$ is a solution of the equation $3x^{2} + (k-1)x + 9 = 0$ if $k$ has the value:

If the equation $(m - n)x^2 + (n - l)x + l - m = 0$ has equal roots,then $l, m$ and $n$ satisfy:

Let $\alpha, \beta, \gamma, \delta$ be the roots of the equation $x^4 + x^2 + 1 = 0$. Then,the equation whose roots are $\alpha^2, \beta^2, \gamma^2, \delta^2$ is:

What is the sum of the squares of the roots of the quadratic equation $x^2 - 3x + 1 = 0$?

If the roots of $x^2 - bx + c = 0$ are two consecutive integers,then $b^2 - 4c$ is

The values of $a$ and $b$ for which the equation $x^4 - 4x^3 + ax^2 + bx + 1 = 0$ has four real roots are: