For what vlaue of a do the equations `x^2+ax+1=0` and `x^2+x+a=0` have exactly one root in common

The equation kx^(2)+x+k=0 and kx^(2)+kx+1=0 have exactly one root in common for

The equation kx^(2)+x+k=0 and kx^(2)+kx+1=0 have exactly one root in common for

The value of b for which the equation x^2+bx-1=0 and x^2+x+b=0 have one root in common is

Find the condition such that the quadratic equations ax^2+bx+c =0 and x^2/a+x/b+1/c =0 have exactly one root in common.

The value of b for which the equation x^2+bx-1=0 and x^2+x+b=0 have one root in common is:

The equations x^2+x+a=0 and x^2+ax+1=0 have a common real root

A value of b for which the equations x^2+bx-1 =0, x^2+x+b =0 have one root in common is