# When Greg opens his mathematics textbook, he notices that the product of the page number of the two facing pages that he sees is 306. What equation will you use to find the pages numbers that Greg is looking at?

1
by jeannyramoscabaguio

• Brainly User
2015-10-17T18:23:01+08:00

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The two facing pages are consecutive pages.

Let the first page of the two be x
Let the next page be x + 1

The product of the two facing pages is 306:

(x) (x + 1) = 306
x² + x = 306

Write as quadratic equation ax² + bx + c =0:

x² + x - 306 = 0

Solve by quadratic formula or factoring.
By factoring:

(x - 17) (x + 18) = 0

x - 17 - 0                x + 18 = 0
x = 17                    x = -18

Choose the positive root (solution), x = 17

The pages are 17 and 18.