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..
