Find the value of k such that the sum of the square of the roots of the quadratic equation x² - 8x + k = 0 is 40 :

Consider the following two statements
$\mathrm{I}$. Any pair of consistent liner equations in two variables must have a unique solution.
$\mathrm{II}$. There do not exist two consecutive integers, the sum of whose squares is $365$ .

Then

If one of the zeroes of the quadratic polynomial $x^2+3x+k$ is $2$, then find the value of $k$ is

If $\alpha , \beta$ and $\gamma$ are the zeros of a cubic polynomial $p\left(x\right)=a{x}^3+b{x}^2+cx+d, a\ne 0$ then $\frac{1}{\alpha }+\frac{1}{\beta }+\frac{1}{\gamma }=$ _____.

The sum of the zeroes of the polynomial $p\left(x\right)=5x^2+2x-3$ is