For a quadratic equation given by ax2+bx+c = 0,
the sum of the roots = −ba,
the product of the roots = ca.
Given quadratic equation: 4k2+5k+6,
Here, a = 4, b = 5, c = 6
Here, x+y = sum of the roots = −54.
Here, xy= product of the roots =64 =32.
Also, 1x+1y=y + xxy=sum of the rootsproduct of the roots=−56.