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

Determine the values of m for which the equations 3x^(2)+4mx+2=0 and 2x^(2)+3x-2=0 may have a common root.

Find m, if the quadratic equation x^2-2(m+1)x+m^2=0

Find the value of k, for which one root of the quadratic equation kx^(2)--14x+8=0 is 2.

Determine the values o m for which equations 3x^(2)+4mx+2=0 and 2x^(2)+3x-2=0 may have a common root.

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.

Find the value of m for which the quadratic equation , 3x^(2) + 10x + (m-3) = 0 has roots which are reciproal to each other.

Find the condition that quadratic equations x^(2)+ax+b=0 and x^(2)+bx+a=0 may have a common root.

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

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