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Mathematics 15 Online
OpenStudy (anonymous):

a Proton in a magnetic field follows a path on a coordinate grid modeled by the function f(x)=x^4-2x^2-15. What are the x-coordinates of the points on the grid where the proton crosses the x-axis?

OpenStudy (dape):

Have you started working on the problem, do you know what equation you need to solve?

OpenStudy (anonymous):

no, i am completely lost. :/ sorry

OpenStudy (dape):

If you draw a pair of coordinate axes, you can see what value the function must be when it crosses the x-axis.

OpenStudy (anonymous):

ok. thanks!

OpenStudy (dape):

|dw:1378421284583:dw|

OpenStudy (dape):

From this figure you see that whenever f(x) crosses the x-axis it has the value 0.

OpenStudy (dape):

So the equation you need to solve to find for which x's the function crosses the x-axis is simply: \[f(x)=0=x^4-2x^2-15\]

OpenStudy (dape):

Do you think you know how to solve that equation?

OpenStudy (anonymous):

Kind of...

OpenStudy (anonymous):

i can solve it now

OpenStudy (dape):

Great, let me know if you want me to check your answer when you got it.

OpenStudy (anonymous):

i'll be fine! thanks!

OpenStudy (dape):

Yeah, that's what I thought ;)

OpenStudy (anonymous):

haha thank you!

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