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anonymous
 5 years ago
Can someone help me find the 5 solutions to this equation?
anonymous
 5 years ago
Can someone help me find the 5 solutions to this equation?

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0use de moivre's theorem

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I don't know what that is. could you explain please?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0sqrt(10) 0 sqrt(10) y = i sqrt(10) y = i sqrt(10)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Do you know euler's formula?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yeah, I think I learned a bit about that. I don't remember these names though. I don't think my teacher did a good job explaining. thank you

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0and e^(ix) = cosx+isin(x)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0to clarify, is this what the answer should look like, or is it in a different format?\[\sqrt[i]{10}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0What class are you in?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.01 or 2 ? because if you are in college algebra, you would use synethic division to solve these things.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Euler's formula is like precalc.. and trigish

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I think we are just using substitution to solve for thse. thats all it really says in this chapter of my book

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I think most you need to solve this problem is the ability to factorize the expression, mainly difference of two squares.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so will i be getting different answers than was given?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0No, the answers given are right! But do you know how to get them?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Well, first take y as a common factor, you get: \[y(y^4100)=0\] Now, y^4100 is a difference of two squares. It can factorized using the formula: a^2b^2=(ab)(a+b)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Ok what you need to do is use factor After you factor to Y (y^210) (y^2+10) You can use quadratic formula on the last term (y^2+10) to get the imaginary roots.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Applying this formula to our equation gives: \[y(y^210)(y^2+10)=0\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Are you following so far? If something does not make sense to you, let me know before we proceed.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0it looks good so far. Thanks

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Good. Now you have: \[y=0\] \[y^210=0 \implies y^2=10 \implies y=\sqrt{10}, y=\sqrt{10}\] These are three solutions.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0We still have two, which are: \[y^2+10=0 \implies y^2=10\] What do you think about this last equation?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0hmm. That sort of makes sense.Sorry, i'm not exactly what you mean by what do I think about the last equation?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0OK. You can see that we have y^2=()10, while square of a real number is always a positive value. In this case y is a complex number. That's: \[y^2=10 \implies y=\sqrt{10}i, y=\sqrt{10}i\] The set of solutions to the given equation is: \[\left\{ 0,\sqrt{10},\sqrt{10},\sqrt{10}i.\sqrt{10}i \right\}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0It's a comma between the last two numbers, not a point.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh ok. Thank you for your help
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