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!