## Find 2 numbers with minimum product

Find 2 numbers with minimum product
• Currently 4.0/5 Stars.
4675 views, 1 rating - 00:07:50
Part of video series Parabolas
Taught by YourMathGal

### Meets NCTM Standards:

More free YouTube videos by Julie Harland are organized at http://yourmathgal.com
We do this problem: Find 2 numbers whose difference is 6 and whose product is as small as possible. This is done using a quadratic equation and the vertex point.
• How do you find 2 numbers whose difference is 6 and whose product is as small as possible?
• How do you find the 2 numbers that minimize their product and have a given sum or difference?
• How do you find the vertex of y = x(x + 6)?
• What is the vertex of y = x^2 + 6x?
This lesson is another example of using a parabola to find a minimum or maximum in a word problem. In this case, the goal is to minimize the product of two numbers when their difference is 6. An equation is set up and the vertex is found in order to solve this problem. All steps involved are explained.
• Currently 4.0/5 Stars.
Reviewed by MathVids Staff on January 15, 2012.