If the roots of the equation `x^(2)+2bx+c=0` are `alpha" and "beta, " then "b^(2)-c =`

If a, b and c are in geometric progression and the roots of the equation ax^(2) + 2bx + c = 0 are alpha and beta and those of cx^(2) + 2bx + a = 0 are gamma and delta

If the roots of the equation x^(2)-bx+c=0 are two consecutive integers, then b^(2)-4c is

If the roots of the equation x^(2)+px+c=0 are 2,-2 and the roots of the equation x^(2)+bx+q=0 are -1,-2, then the roots of the equation x^(2)+bx+c=0 are

If alpha and beta are thr roots of the equation ax^(2) + bx + c = 0 then ( alpha + beta )^(2) is ……… .

The roots of the equation 2x^(2)-7x+5=0 are alpha and beta . Without solving the root find (alpha)/(beta)+(beta)/(alpha)

If alpha , beta are the roots of the equation ax^(2)+bx+c=0 and S_(n)=alpha^(n)+beta^(n) , then aS_(n+1)+bS_(n)+cS_(n-1)=(n ge 2)

The roots of the equation 2x^(2)-7x+5=0 are alpha and beta . Without solving the root find (alpha+2)/(beta+2)+(beta+2)/(alpha+2)

If roots of the equation a x^2+b x+c=0 are alphaa n dbeta , find the equation whose roots are 1/alpha,1/beta (ii) -alpha,-beta (iii) (1-alpha)/(1+alpha),(1-beta)/(1+beta)

If alpha and beta are the roots of the equation ax^(2)+bx+c=0 then (alpha+beta)^(2) is …………..

If the both roots of the equation x^(2)-bx+c=0 be two consecutive integers, then b^(2)-4c equals