Find the value of `lamda` so that the equations `x^(2)-x-12=0` and `lamdax^(2)+10x+3=0` may have one root in common. Also, find the common root.

Find the value of k, so that the equation 2x^(2)+kx-5=0 and x^(2)-3x-4=0 may have one root in common.

Find the value of k, so that the equation 2x^(2)+kx-5=0 and x^(2)-3x-4=0 may have one root in common.

Find the value of k, so that the equation 2x^(2)+kx-5=0 and x^(2)-4x+4=0 may have one root common.

Find the value of k , so that the equation 2x^2+kx-5=0 and x^2-3x-4=0 may have one root in common.

Find the value of m for which the quadratic equations x^(2)-11x+m=0 and x^(2)-14x+2m=0 may have common root t

If the equations x^(2)-x-p=0 and x^(2)+2px-12=0 have a common root,then that root is

For what value of k will be the equations x^(2)-kx-21=0 and x^(2)-3kx+35=0 have one common root.

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

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

Find the sum of all the values of m so that , the equations 3x^(2)-2mx-4=0" and x^(2)-4mx+2=0 " may have a common root.(" Can the equations have a common nonreal root)