If`x=1 `and `x=2` are solutions of the equation `x^3 +ax^2+bx+c=0` and `a+b=1`, then the value of` b`, is

If x=1 and x=2 are solutions of equations x^(3)+ax^(2)+bx+c=0 and a+b=1, then find the value of b.

If x=1 and x=2 are solutions of equations x^3+a x^2+b x+c=0 and a+b=1, then find the value of bdot

If x=1 and x=2 are solutions of equations x^3+a x^2+b x+c=0 and a+b=1, then find the value of bdot

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

If the roots of the equation x^(3)+ax^(2)-bx-6=0 be -1 and 2, calculate the value of a and b.

If x=1/3 , -1 are the roots of the equation ax^2+bx-1=0 ,find a and b.

If (2)/(3) and -(1)/(2) are solution of quadratic equation 6x^(2)+ax-b=0 , find the values of a and b.

If x and y are the roots of the equations x^(2)+bx+1=0 then the value of (1)/(x+b)+(1)/(y+b) is

If x_(1),x_(2) are the roots of the quadratic equation ax^(2)+bx+c=0 and c ne 0, find the value of (ax_(1)+b)^(-2)+(ax_(2)+b)^(-2) in terms of a,b,c