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

Sagot :

Rider21idn
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..