If one of the values of x of the equation `2x^(2)-6x + k= 0 " be " (1)/(2) (a+5i)`, find the values of a and k.

If one root of the quadratic equation 6x^(2)-x-k=0" is" (2)/(3) , then find the value of k.

If the equation 2x^(3) -6x + k=0 has three real and distinct roots, then find the value (s) of k.

If the roots of the quadratic equation 2x^(2)+8x+k=0 are equal, find the value of k .

Find the value of k so that the equation 2x^(2)-5x+k=0 has two equal roots.

If one of the roots of the equation 2x^(2)-6x+k=0 is (alpha + 5i)/(2) (where alpha, k in R ) then Statement 1 : the value of alpha is 3 because Statement 2 : the value of k is 17.

Find the value of k for which the equation 3x^(2)-6x+k=0 has distinct and real root.

If x=3 is one root of the quadratic equation x^2-2kx-6=0 , then find the value of k

If one root of 2x^(2)-5x+k=0 be double the other, find the value of k.