From the given information it follows that
(100 + w)(150 + w) = 2(100)(150), or
(100 + w)(150 + w) = (200)(150). This is a
quadratic equation that can be solved by several
methods. One method is by inspection. The left
side is clearly equal to the right side when w =50.
Another method is by factoring. Expanding the left
side gives (100)(150) + 250w + v} =(200)(150), or
v} + 250w - (100)(150) = 0. Factoring the left
side gives ( w - 50)( w + 300) = 0, which has
w =50 as its only positive
...
(100 + w)(150 + w) = 2(100)(150), or
(100 + w)(150 + w) = (200)(150). This is a
quadratic equation that can be solved by several
methods. One method is by inspection. The left
side is clearly equal to the right side when w =50.
Another method is by factoring. Expanding the left
side gives (100)(150) + 250w + v} =(200)(150), or
v} + 250w - (100)(150) = 0. Factoring the left
side gives ( w - 50)( w + 300) = 0, which has
w =50 as its only positive
...
