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Solve the equation x^3 + x^2 = 392.  How do I do this?

 Jun 24, 2020
 #1
avatar+30915 
+1

There is one real solution and two complex solutions.  The real solution may be obtained as follows:

 

 Jun 24, 2020
 #2
avatar+134 
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I would first try simplfying it, so you would get x^2(x+1)=392. Then i would factor 392 and see if there are any numbers that you can imedietly see that would fit. So, 392=2^3 * 7^2, we can try to say that 7 is x, from there we get 7^2(7+1). 7+1=8=2^3 so from here x=7.

 Jun 24, 2020

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