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?
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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|
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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
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OpenStudy (dape):
Great, let me know if you want me to check your answer when you got it.