A book is lying open on a desk. The product of the page numbers is 930. What are the two page numbers?
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Step-by-step explanation:
Let the first page be x. Therefore the next page is x+1
Therefore, product is x(x+1)=930
x²+x=930
x²+x-930=0
x²-30x+31x-930=0
x(x-30)+31(x-30)=0
(x-30)(x+31)=0
Therefore, x=30 or x=-31
Since x can't be negative, x=30
Therefore the page numbers are 30 and 31
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