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Question
The product of the page numbers of two facing pages of a book is 1806. Find the page numbers
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
Like if satisfied
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
Like if satisfied
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