One root of the equation `x^2 +ax +7=0` is 1.Find the value of a.

If sin theta,costheta are the roots of the equation ax^2+bx+c =0 then find the value of (a+c)^2/(b^2+c^2)

IF alpha and beta be the roots of the equation ax^2+bx+c=0 , find the values of alpha^2+beta^2

IF alpha and beta be the roots of the equation ax^2+bx+c=0 , find the values of 1/alpha^3+1/beta^3

If -5 and -7 be two roots of the equation ax^(2)+bx+35=0 , then find the values of a and b.

If alphaandbeta be the roots of the equation 5x^(2)+2x-3=0 , then find the values of ((1)/(alpha)+(1)/(beta))

One root of the equation cosx-x+1/2=0 lies in the interval

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 (1-i) is a root of the equation x^(2) +ax+b=0, then the values of a and b are-

If a and b are integers and 2-sqrt3 is a root of the equation 3x^2+ax+b =0, then value of b is

One root of the equation (2+3i)x^2-bx+(3+i)=0 is 2-i. Find the other root and the value of b.