If `alpha and beta` are the roots of the equation `x^(2) - q(1+x) - r =0 , " then what is " (1+ alpha) (1+ beta)` equal to ?

If alpha and beta are the roots of the equation x^(2) + px + q =0, then what is alpha ^(2) + beta ^(2) equal to ?

If alpha and beta are the roots of the equation x^(2) +6x + 1 = 0 ," then what is "|alpha - beta| equal to?

If alpha and beta are the roots of the equation x ^(2) + 3x - 4 = 0 , then (1)/(alpha ) + (1)/(beta) is equal to

If alpha and beta are the roots of the equation x^2+x+1=0 , then alpha^2+beta^2 is equal to:

If alpha and beta are the roots of the equation x^(2) -1 =0 " then " (2alpha)/(beta ) + (2 beta)/(alpha) is equal to ..........

If alpha,beta are the roots of the equation x^(2)-p(x+1)-c=0, then (alpha+1)(beta+1)=

If alpha and beta are the roots of the equations x^2-p(x+1)-c=0 , then (alpha+1)(beta+1)_ is equal to:

If alpha and beta are the roots of the equation x^(2) - p(x + 1) - q = 0 , then the value of : (alpha^(2) + 2 alpha + 1)/(alpha^(2)+ 2 alpha + q) + (beta^(2) + 2 beta + 1)/(beta^(2) + 2 beta + q) is :