Question

Equations of pairs of opposite sides of a parallelogram are x2+7x+6=0 and y2-14y+40=0. Find the joint equation of it's diagonal.

Answer 1

x2+7x+6=0

y2-14y+4=0

x2+(2)(3)+7x=0

x2+6+7x=0

x2+13x=0

13+2x2=0

17x=0

y2-14y+4=0

y2-(2)(2)-14y=0

y2-18y=0

18-2y2=0

18-4y=0

14y=0