If $x = 2 + \sqrt{3}$,then what is the value of $x^3 - 7x^2 + 13x - 12$?

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

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

If $\alpha, \beta, \gamma, \delta$ are the roots of the equation $x^4-4x^3+3x^2+2x-2=0$ such that $\alpha$ and $\beta$ are integers and $\gamma, \delta$ are irrational numbers,then $\alpha+2\beta+\gamma^2+\delta^2=$

Let $\alpha \neq 1$ be a real root of the equation $x^3-a x^2+a x-1=0$,where $a \neq -1$ is a real number. Then,a root of this equation,among the following,is

Find the set $\{ x \in R : |x - 2| = x^2 \}$.