If $\alpha, \beta, \gamma$ are the roots of the equation $x^3-12 x^2+k x-18=0$ and one of them is thrice the sum of the other two roots, then $\alpha^2+\beta^2+\gamma^2-k=$

The polynomial equation of degree 5 whose roots are the roots of the equation $x^5-3 x^4-x^3+11 x^2-12 x+4=0$ each increased by 2 , is

If the area of a square is 575 square units, then the approximate value of its side is

If $\alpha$ is the common root of the quadratic equations $x^2-5 x+4 a=0, x^2-2 a x-8=0$, where $a \in R$, then the value $\alpha^4-\alpha^3+68$ is