Answer:
The mathematical equation will be
a) (2w-5)(w-3) = 55
[tex]2w^2 -6w - 5w +15=55[/tex]
[tex]2w^2 - 11w =40[/tex]
upon factorizing this equation it will be
[tex]2w^2 - 11w-40=0[/tex]
[tex]2w^2 - 16w+5w -40=0[/tex]
2w(w-8)+5(w-8)=0
(2w+5 )(w-8)=0
w= -5/2 or 8
b) (2w-3)(w-5) = 55
[tex]2w^2 -10w-3w+15=55[/tex]
[tex]2w^2 -13w= 40[/tex]
[tex]2w^2 -13w -40=0[/tex]
w= 13 ±[tex]\sqrt{489}[/tex] /4
