Let `a ,b ,c` be real numbers `a!=0.` If `alpha` is a root of `a^2x^2+b x+c=0.beta` is the root of `a^2x^2-b x-c=0a n d0

Let a,b,c be real numbers with a!=0 and let alpha,beta be the roots of the equation ax^(2)+bx+c=0. Express the roots of a^(3)x^(2)+abcx+c^(3)=0 in terms of alpha,beta.

Let a,b,c be real numbers with a =0 and let alpha,beta be the roots of the equation ax^(2)+bx+C=0. Express the roots of a^(3)x^(2)+abcx+c^(3)=0 in terms of alpha,beta

Let a, b, c, d be distinct real numbers such that a, b are roots of x^2-5cx-6d=0 and c, d are roots of x^2-5ax-6b=0 . Then b+d is

Let a,b,c,d be distinct real numbers and a and b are the roots of the quadratic equation x^(2)-2cx-5d=0. If c and d are the roots of the quadratic equation x^(2)-2ax-5b=0 then find the numerical value of a+b+c+d

Given a,b,c are non-zero real numbers.If alpha,beta are roots of equation ax^(2)+bx+c=0 and (alpha)/(beta),(beta)/(alpha) are roots of equation x^(2)-3x+1=0, then the value of (b^(2))/(ac) is equal to

If alpha and beta ( alpha

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

Let a,b,c,p,q be the real numbers.Suppose alpha,beta are the roots of the equation x^(2)+px+q=0 and alpha,(beta)/(2) are the roots of the equation ax^(2)+bx+c=0 where beta^(2)!in{-1,0,1}