[" Q.3Let "alpha& beta" be the roots of the equation,"ax^(2)+bx+c=0" where "1

Let alpha and beta be the roots of the equation ax^(2)+bx+c=0 then lim_(x rarr beta)(1-cos(ax^(2)+bx+c))/((x-beta)^(2))

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}

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 alpha,beta be the roots of the equation ax^(2)+bx+c=0. A root of the equation a^(3)x^(2)+abcx+c^(3)=0 is (i) alpha+beta( ii) alpha^(2)+beta (iii) alpha^(2)-beta( iv) alpha^(2)beta

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

Let alpha and beta be the roots of the quadratic equation ax^(2)+bx+c=0, c ne 0, then form the quadratic equation whose roots are (1-alpha)/(alpha) and (1-beta)/(beta) .