Еwo pages the book is open at are consecutitve integers, let x be the first number, then x+1 is the second number. Find their product:
x·(x+1).
Since the product of the two pages the book is open to is 1,482, you have that
x·(x+1)=1482.
Solve this equation:
[tex]x\cdot (x+1)=1482,\\ \\x^2+x-1482=0,\\ \\D=1-4\cdot (-1482)=5929,\\ \\\sqrt{D}=77,\\ \\x_1=\dfrac{-1-77}{2}=-39,\ x_2=\dfrac{-1+77}{2}=38.[/tex]
Answer: pages 38 and 39.
