If `r` and `s` are the roots of the equation `ax^2+ bx + c= 0`, then the value of `1/r^2+1/s^2=`

If alpha and beta are the roots of the equation ax^(2) + bx + c = 0 , then what is the value of the expression (alpha + 1)(beta + 1) ?

If alphaandbeta are the roots of the equation ax^(2)+bx+c=0 , then the value of 1/(aalpha+b)+1/(abeta+b) is

If r and s are roots of x^(2) + px + q = 0 , then what is the value of (1//r^(2))+ ( 1//s^(2)) ?

Suppose 1,2,3 are the roots of the equation x^4 + ax^2 + bx + c = 0 . Find the value of c.

If alpha and beta are the roots of the equation ax^(2)+bx+c=0, then what are the roots of the equation cx^(2) + bx + a = 0 ?

If r is the ratio of the roots of the equation ax^2 + bx + c = 0 , show that (r+1)^2/r =(b^2)/(ac)

If r is the ratio of the roots of the equation ax^2 + bx + c = 0 , show that (r+1)^2/r =(b^2)/(ac)