The product of the page number on two facing pages of a book is 506, find the page numbers.

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Begin by setting up the problem with a variable:n * (n + 1) = 506  This means a number "n" plus the next consecutive number ( n + 1 ) yield a product of 506Multiply out the variables and move the value "506" all to the same side of the equation:n^2 + n - 506 = 0 Now use the Quadratic Equation to solve for a positive number solution.-b +- Square Root of b^2 - 4ac all divided by 2aThe positive number solution is 22 so the second page is either 21 or 23.  Obviously, it is going to be pages 22 and 23.Another method is to find the square root of 506: 22.49444376 and try the whole number 22 and the numbers before and after it.