If $\alpha, \beta, \gamma$ are the roots of the equation $x^3+4x^2-9x-36=0$ and $\alpha < \beta < \gamma$,then find the value of $\alpha+2\beta+3\gamma$.

If $-1+i$ is a root of the equation $x^4+4x^3+5x^2+2x-2=0$,then the real roots of this equation are

Let $S$ be the set of all possible integral values of $\lambda$ in the interval $(-3, 7)$ for which the roots of the quadratic equation $\lambda x^2 + 13x + 7 = 0$ are all rational numbers. Then the sum of the elements in $S$ is

What are the roots of the equation $x^{2/3} + x^{1/3} - 2 = 0$?

If $k \in R$,then the roots of $(x-2)(x-3)=k^2$ are always

What are the roots of the given equation $(p - q)x^2 + (q - r)x + (r - p) = 0$?