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Question

The product of the page numbers of two facing pages of a book is 1806. Find the page numbers

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Solution

x(x+1) = 1806

x²+x-1806 = 0

By splitting middle term

x²+43x - 42x - 1806 = 0

x(x+43)-42(x+43) =0

(x-42)(x+43) = 0

x = 42

So the pages are 42 and 43

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