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.

The value of a for which the equation x^3+2ax+2=0 and x^(4)+2ax^(2)+1=0 have a common root 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)

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

Find the values of p if the equations 3x^2-2x+p=0 and 6x^2-17x+12=0 have a common root.

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

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.