Ask a New Question

A student is asked to find positive integer solutions to this equation:

2 * 3 √x = 5 √y

What is the smallest possible value of xy? (Please show working out, thank you.)

1 answer

2 * 3 √x = 5 √y
6√x = 5√y
36x = 25y

Since 36 and 25 have no factors in common, we must have

x=25 and y=36

Ask a New Question or answer this question.

Similar Questions

Given a fixed positive integer k > 1, find all integer solutions to the equation y^k = x^2 + x.(x^y means x to the power of y)
1. 1 answer
Find the only positive integer whose cube is the sum of the cubes of three positive integers immediately preceding it. Find this
1. 1 answer
For how many values of $a$ is it true that:(1) $a$ is a positive integer such that $a \le 50$. (2) the quadratic equation $x^2 +
1. 1 answer
The following quadratic equation has the integer solutionsx^2+5x-6=0 what is the positive solution of the equation
1. 2 answers

more similar questions