# Monthly Archives: February 2016

## Perfect Square

Find the smallest positive integer such that is a perfect square, is a perfect cube, and is a perfect fifth power. Source: NCTM Mathematics Teacher, December 2005 SOLUTION If is a perfect square, must have as a prime factor such … Continue reading

## Equation of Parabola

A parabola with integral roots passes through the points and . Find the equation of this parabola. Source: NCTM Mathematics Teacher, December 2005 SOLUTION Let be the equation of the parabola. At point At point Rewrite Eq. Substitute the value … Continue reading

## Sum of Consecutive Numbers (Part 2)

The sum of consecutive positive integers is . Find all possible values of . Source: NCTM Mathematics Teacher, December 2005 SOLUTION Let be the sum of consecutive positive integers with the first term equal . If we add the first … Continue reading