If the equations `x^(3) - mx^2 - 4 = 0 and x^(3) + mx + 2 = 0 .m in R` have one common root, then find the values of m.

If the equations x^(2) + 2x -3=0 and x^(2) + 3x-m=0 have a common root, then the non- zero value of m.

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)

For the two equations x^(2)+mx + 1 =0 and x^(2) + x + m = 0 , what is the value of m for which these equations have at least one common root?

If the roots of the equation 12x^(2)-mx+5=0 are in the ratio 2:3 , then find the value of m.

If the equation x^2 -2mx+7m-12 =0 has equal roots then m=

If x=2 and x=3 are roots of the equation 3x^(2)-mx+2n=0 , then find the values of m and m.

If x=2 and x=3 are roots of the equation 3x^(2)-mx+2n=0 , then find the values of m and m.

For what values of m the equations 3x^2+4mx+2=0 and 2x^2+3x-2=0 will have a common root?

If he roots of the equation12x^(2)-mx+5=0 are in the ratio 2:3 then find the value of m.