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

Can anyone help?

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!

:)