A kid opens a math book to two facing pages. The product of the page number is 1482. Find the page numbers. I think the problem is set up like this, but not sure how to do it: x + (x+1)=1482
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Originally Posted by bball20 A kid opens a math book to two facing pages. The product of the page number is 1482. Find the page numbers. I think the problem is set up like this, but not sure how to do it: x + (x+1)=1482 the word "product" indicates the operation of multiplication ... x(x+1) = 1482
Originally Posted by bball20 A kid opens a math book to two facing pages. The product of the page number is 1482. Find the page numbers. I think the problem is set up like this, but not sure how to do it: x + (x+1)=1482 Remember, a product is what you get when you MULTIPLY two numbers together. So it's actually $\displaystyle x(x + 1) = 1482$.
x(x+1)=1482 x^2 +1x-1482 (x-38)(x+39) so the pages would be 38 and 39
Originally Posted by bball20 x(x+1)=1482 x^2 +1x-1482 = 0 (x-38)(x+39) = 0 x - 38 = 0 or x + 39 = 0 x = 38 or x = -39 so the pages would be 38 and 39 Yes, $\displaystyle x = 38$ is the only solution you can accept since you can't have a negative number of pages. So the page numbers are $\displaystyle x = 38$ and $\displaystyle x + 1 = 39$.
Thank you for your help!
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