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Find the roots of x^4 + x^2 + 1 = 0.  Write each complex root in the form a + bi.

 

Can anyone help?

 Aug 3, 2020
 #1
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Let's create a variable for x^2. We can store that as y.

 

So, our new equation is y^2+y+1=0.

 

From here, we see that y is y=(−1−i√32)/2,(−1+i√32)/2.

 

Then, square root the two roots, and you will get the answer!

 

:)

 Aug 3, 2020

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