Question

Algebra 2 HELP! Find points of intersection?
(see attachment)

Answer 1

Are you supposed to use Algebra techniques (e.g., substitution, addition) to do this? @Studentc14

Answer 2

I believe so, but im not really sure... I can find the answer when I plug in random numbers to see if they come out the same, but if there a "right" way to do this problem?

Answer 3

I cannot say that there is a "right" way to do this. I was wondering what the instructions are. That "plug and chug" approach you are using may take light years to get a solution. Let's try some other approaches.
But, if you have been instructed to solve the problem in a particular way, I need to know that so we can do it that way.

Answer 4

This is all the problem said, i took a screenshot of the direct question from the book

Answer 5

At the following link is a picture of what we will be finding. While the answers are given, we will take note of the graphs and then return here to do the algebra.

Take a look: http://www.wolframalpha.com/input/?i=%5By+%3D+x%5E4+%2B+x%5E2+%2B+24x%5D+and+%5By+%3D+6x%5E3+%2B+20%5D

Answer 6

A quartic and a cubic polynomial have intersected and the task is to algebraically find those coordinates of intersection.

Answer 7

y = 6x^3 + 20

y = x^4 + x^2 + 24x
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Let's try substitution.

In y = x^4 + x^2 + 24x, substitute 6x^3 + 20 for y.

So, 6x^3 + 20 = x^4 + x^2 + 24x.

Your task is to collect all terms on one side of the equation with the other side being equal to 0.

Answer 8

okay thaks! this helped a lot