If `-1/2+ibeta` is a root of the equation `2x^3+bx^2+3x+1=0` then find the value of b

if- -(1)/(2)+i beta, is a root of 2x^(3)+bx^(2)+3x+1=0, then find the value(s of b

If one root of the equation 2x^2+2x+k=0 is (-1/3) then find teh value of k

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

If p and q are the roots of the equations x^(2) - 3x+ 2 = 0 , find the value of (1)/(p) - (1)/(q)

If alpha is a real root of the cubic equation ax^(3)+bx^(2)+bx+a=0, then the value of lim_(x rarr(1)/(a))(tan(ax^(3)+bx^(2)+bx+a))/((alpha x-1)) is

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

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 quadratic equation 3x^(2) +px+4=0 is 2/3 , then find the value of p and the other root of the equation. OR The roots alpha and beta of the quadratic equation x^(2) -5x+3(k-1)=0 are such that alphabeta =1. Find the value k.

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 p and q are the roots of the equation x^(2)-3x+2=0 , find the value of (1)/(q)-(1)/(q) .