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Anguyennn
 one year ago
how do solve 3x^3+2x^212x8=0
Anguyennn
 one year ago
how do solve 3x^3+2x^212x8=0

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zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2Ooo I think this one is going to work out nicely with grouping! :)

Anguyennn
 one year ago
Best ResponseYou've already chosen the best response.0yes that is what the question is asking me to do actually haha :)

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2\[\large\rm \color{#DD4747}{3x^312x}+\color{#3366CF}{2x^28}=0\]Notice that the cubic term and the first degree term are both divisible by 3, while the squared term and constant term are both even, divisible by 2, so let's group them like this!

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2We want to do some factoring. What can we factor out of the red guys? What do they have in common?

Anguyennn
 one year ago
Best ResponseYou've already chosen the best response.0\[\large\rm \color{#DD4747}{3x^312x}+\color{#3366CF}{2x^28}=0\]

Anguyennn
 one year ago
Best ResponseYou've already chosen the best response.0I don't see any equations

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2The equation didn't show up for you? Are you using Internet Explorer or some junk like that? :c lol

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2Reload browser? :o Maybe the plugin just crashed for you or something

Anguyennn
 one year ago
Best ResponseYou've already chosen the best response.0ok please hold on ok

Anguyennn
 one year ago
Best ResponseYou've already chosen the best response.0oh yes i see it now!!

Anguyennn
 one year ago
Best ResponseYou've already chosen the best response.0so it would be (3x+2) (x^24)

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2Oh, you did it all the way already XD haha nice!

Anguyennn
 one year ago
Best ResponseYou've already chosen the best response.0so would the final answer be x=2/3, 2, 2?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.22/3, ya? :) Gotta subtract the 2 over

Anguyennn
 one year ago
Best ResponseYou've already chosen the best response.0but wait, what about x^38x^2=0

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2Oh this is another problem? I see :)

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2So they each have at least two x's, multiplying, ya? So we can pull an x^2 out of each.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2\[\large\rm x^2(x8)=0\]Something like that, ya? :d

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2Apply your `ZeroFactor Property` again :) \(\large\rm x^2=0\) and \(\large\rm x8=0\) and solve for x in each case.

Anguyennn
 one year ago
Best ResponseYou've already chosen the best response.0I know one of them would be x=8

Anguyennn
 one year ago
Best ResponseYou've already chosen the best response.0but what about for the x^2? that is what i am confused about

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2\(\large\rm x^2=0\) Take square root, \(\large\rm \pm x=0\) Leading to, \(\large\rm x=0\)

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2square root of zero is... zero :) ya?

Anguyennn
 one year ago
Best ResponseYou've already chosen the best response.0but when you square root x it becomes 10

Anguyennn
 one year ago
Best ResponseYou've already chosen the best response.0oh wait never mind, i am talking nonsense

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2x is being squared. we perform the `opposite` operation of squaring to remove the square. square root is the opposite of squaring. So when we apply the square root, they `undo` one another.

Anguyennn
 one year ago
Best ResponseYou've already chosen the best response.0wow thanks I understand it now!!

Anguyennn
 one year ago
Best ResponseYou've already chosen the best response.0are you able to help me with some other questions since you are here already :P

Anguyennn
 one year ago
Best ResponseYou've already chosen the best response.0you are a really great help btw thank you i appreciate it

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2you can post it, i gotta make some food real quick :D brb

Anguyennn
 one year ago
Best ResponseYou've already chosen the best response.0I am not sure how to do c, f, or g.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2What did you get for b? Your profit function.

Anguyennn
 one year ago
Best ResponseYou've already chosen the best response.0I showed you a picture as well

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2Since this is a `linear function`, \(\large\rm \text{rate of change = slope}\) So the slope of your P(n) function is your rate of change.

Anguyennn
 one year ago
Best ResponseYou've already chosen the best response.0how do you find out the slope? mx+b?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2We can write the number like this if it makes things easier:\[\large\rm m=\frac{13.83}{1}\]Remember that slope is `rise over run`. So I would like two separate numerical values in my slope so I can interpret it. The 13.83 represents profit, the 1 represents 1 pizza sold. So this value represents the amount of profit made per pizza!

Anguyennn
 one year ago
Best ResponseYou've already chosen the best response.0so would 1 be the y coordinate on the graph?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2slope is `change in y` divided by `change in x`. So the bottom number is the x ( n in this case ).

Anguyennn
 one year ago
Best ResponseYou've already chosen the best response.0oh ok thank you so much for your help!

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2`practical domain` You don't want to open a pizza shop and sell two pizzas every day. You'll end up losing money because of your operating costs! So you want your domain to start from the `breakeven point`.

Anguyennn
 one year ago
Best ResponseYou've already chosen the best response.0which is going to be n=7.40?
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