Question

Felipe flips a math textbook open to a random page and tells you the product of the two pages the book is open to is 1,482. Can you figure out which two pages Felipe flipped the open to?

Answer 1

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:

`x\cdot (x+1)=1482,\\ \\x^2+x-1482=0,\\ \\D=1-4\cdot (-1482)=5929,\\ \\√(D)=77,\\ \\x_1=(-1-77)/(2)=-39,\ x_2=(-1+77)/(2)=38.`

Answer: pages 38 and 39.