Question

the bottom of a rectangular swimming pool has an area of 216 square feet. the length of the swimming pool is 6 ft longer than it's width. What are all possible width of the swimming pool?



Help!!

Answer 1

216=x(x+6)
216=x^2+6x
X^2 + 6x - 216
(X+18)(x-12)
So the answers can be -18 or 12, but 12 is the only reasonable solution.