The roots of the equation $x^4 - 8x^2 - 9 = 0$ are

If the equation $x^4+7x^3+18x^2+20x+8=0$ has a repeated root,then that repeated root is

Let $a, b$ and $c$ be three positive real numbers such that the sum of any two of them is greater than the third. All the values of $\lambda$ such that the roots of the equation $x^2+2(a+b+c)x+3\lambda(ab+bc+ca)=0$ are real,are given by

If $x^2+x-6$ is a factor of $2x^3+x^2+ax+b$,then $6a+13b=$

The product of real roots of the equation $|x|^{6/5} - 26|x|^{3/5} - 27 = 0$ is:

The minimum value of $(x-\alpha)(x-\beta)$ is