Week 9 – Forming Quadratic Equations

This week in pre-calculus 11, we reviewed analyzing quadratic equations as well as learning how to form quadratic equations. Forming, or modeling, quadratic equations is when you are given one part of the equation, usually the sum, and rather than the equation in numbers, words are used to describe it. For example:

The addition of two numbers will result in 60. However, when multiplied, these numbers equal 800. Given these two numbers, find the x and y values.

$x+y=60$ or $y=60-x$.

$xy=800$

Now, once these two phrases are combined, you can find the product of x and y.

$(x)(60-x)=800$

$60x-x^2=800$

$(-x^2)-60x-800=x$

So now we know that x=20 and 40.

Thank you for reading, hope you enjoyed.