" 9.If "alpha,beta" be the roots of the equation "x^(2)+px+q=0" ,show that "

IF alpha,beta be the roots of the equation x^2+px+q=0 , show that 1/(alpha+beta) and 1/alpha+1/beta are the roots of pqx^2+(p^2+q)x+p=0

If alpha and beta are the roots of the equation x^(2)-px +16=0 , such that alpha^(2)+beta^(2)=9 , then the value of p is

If alpha and beta are the roots of the equation x^(2)-px +16=0 , such that alpha^(2)+beta^(2)=9 , then the value of p is

IF alpha and beta be the roots of the equation x^2+px+q=0 show that alpha/beta is a root of the equation qx^2-(p^2-2q)x+q=0 .

If alpha , beta be the roots of the equation x^2-px+q=0 ,form the quadratic equation whose roots are 2alpha-beta , 2beta-alpha

If alpha,beta be the roots of the equation x^(2)-px+q=0 then find the equation whose roots are (q)/(p-alpha) and (q)/(p-beta)

If alpha and beta are the roots of the equation x^(2) -px +q =0 , then the value of αβ is

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