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=0,
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.