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

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

If the equations 2x^(2)-7x+1=0 and ax^(2)+bx+2=0 have a common root, then

If the equations x^(2) - ax + b = 0 and x^(2) - ex + f = 0 have one root in common and if the second equation has equal roots, then prove that ae = 2 (b + f).

The number of integral values of b, for which the equation x^(2)+bx-16=0 has integral roots, is

The number of values of a for which equations x^3+a x+1=0a n d x^4+a x^2+1=0 have a common root is a. 0 b. 1 c. 2 d. Infinite

If the equations x^(2)-ax+b=0 and x^(2)-ex+f=0 have one root in common and if the second equation has equal roots then prove that ae=2(b+f).

If the equation x^(2)+2x+3=0 and ax^(2)+bx+c=0, a,b,c in R have a common root, then a:b:c is

Determine the values of m for which equations 3x^2+4m x+2=0a n d2x^2+3x-2=0 may have a common root.

The equations x^(2) - 4x +a=0 and x^(2) + bx +5=0 have one root in common The other root of these equations are integers in the ratio 3 : 5Find the common root