if `x_1` and `x_2` are the roots of `ax^ 2 + bx + c = 0`, find the value of

if x_(1),x_(2) are the roots of ax^(2)+bx+c=0, find the value of (1)(ax_(1)+b)^(-2)+(ax_(2)+b)^(-2)(2)(ax_(1)+b)^(-3)+(ax_(2)+b)

If 1,2,3 and 4 are the roots of x^4+ax^3+bx^2+cx+d=0 , then find the values of a,b,c and d.

Suppose 1,2,3 are the roots of the equation x^4 + ax^2 + bx + c = 0 . Find the value of c.

If one root of the equation x^2+bx+8=0 be 4 and the roots of the equation x^2+bx+c=0 are equal , find the value of c.

If the roots of 2x^(2)+7x+5=0 are reciprocals roots of ax^(2)+bx+c=0 then find the value of a-c

If the roots of 2x^(2) + 7x + 5 = 0 are the reciprocal roots of ax^(2) + bx + c = 0 , then a-c = "_____" .

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

If x_(1) and x_(2) are the real and distinct roots of ax^(2)+bx+c=0 then prove that lim_(xtox1) (1+sin(ax^(2)+bx+c))^(1/(x-x_(1)). equals to