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

The quadratic equations x^(2)-6x+a=0" and "x^(2)-cx+6=0 have one root in common. The other roots of the first and second equations are integers in the ratio 4 : 3. Then the common root is

The equations x^(2)-6X+a=0 and x^(2)-bx+6=0 have one root in common. The other root of the first one and the second equation are integers in the ratio 4 : 3 . Find the commonroot.

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).

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 he roots of the equation 12 x^2-m x+5=0 are in the ratio 2:3 then find the value of mdot

If one root is square of the other root of the equation x^2+p x+q=0 then the relation between p and q 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