If $x^2-4 a x+5+a>0$ for all $x \in R$ whenever $a \in(\alpha, \beta)$, then $4 \beta+\alpha=$

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