SOLUTION: The product of two numbers is 30 and the average 6. What are these numbers?

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: The product of two numbers is 30 and the average 6. What are these numbers?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 441189: The product of two numbers is 30 and the average 6. What are these numbers?
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
Let x the first unknown number, since their product is 30 the other unknown
number is 30%2Fx, and their average is:%28x%2B30%2Fx%29%2F2=%28x%5E2%2B30%29%2F2x%29.
This average %28x%5E2%2B30%29%2F2x=6, solving this quadratic equation we get:
x%5E2-12x%2B30=0 => x=%2812%2B-sqrt%2812%5E2-120%29%29%2F2, two values for the first
number x:x=6%2Bsqrt%286%29 and %7Bx=6-sqrt%286%29.
We have also two values for the second number:30%2F%286%2Bsqrt%286%29%29, and,
30%2F%286-sqrt%286%29%29. As you see the problem has two solutions.