Question 367099
let x = one of the facing pages.
let y = the other of the facing pages.


it's clear that y has to be equal to x + 1, so your 2 pages are therefore equal to:


x and (x+1)


the product of these 2 pages is equal to 1056


this means that:


x * (x+1) = 1056


simplify to get:


x^2 + x = 1056


subtract 1056 from both sides of this equation to get:


x^2 + x - 1056 a= 0


your factors for this quadratic equation are:


(x - 32) * (x + 33) = 0 because:


32*33 = 1056
33 - 32 = 1


you get:


x = 32 or x = -33


x can't be -33, so x = 32 is your answer.


you get:


x = 32
x + 1 = 33


page 32 faces page 33.


32 * 33 = 1056.


there's your answer.