IDNStudy.com, ang platform na nag-uugnay ng mga tanong sa mga sagot ng eksperto. Magtanong at makakuha ng detalyadong sagot mula sa aming komunidad ng mga eksperto na may kaalaman.

To what pages must Narding open his book so that the product of the book's two facing pages is 5700? 17292?



Sagot :

Let x be the smaller page number
      x + 1 be the larger page number

We have:

      x(x +1) = 5700
      x² + x = 5700
     x² + x - 5700 = 0
EXTRACT ROOTS USING QUADRATIC FORMULA:
      X₁ = (-b + √b² - 4ac) / 2a
          where a = 1
                    b = 1
                    c = -5700
So.
     X = (-1 + √1² - 4(1)(-5700) ) / 2(1)
         = (-1 + √ 1 + 22800 ) / 2
         = ( -1 + 151 ) / 2
         = 150/2
       X  = 75 
So x +1 = 76......Therefore the answer for letter a) is pages 75 and 76..