Imaginary Numbers Are Real by Stephen Welch

Author:Stephen Welch [Welch, Stephen]
Language: eng
Format: epub
Published: 2019-05-08T22:00:00+00:00

Let’s solve a simple equation:

Imaginary

(15) What value of x would make this equation work? If you said 1, great job, 13=1. We’ve found one answer.

Now, are there any more answers?

Way back in part one we introduced the Fundamental

Theorem of Algebra, which says that a polynomial must

have as many roots1 as its highest power. We can rearrange our equation as x3-1=0 to make it a more obvious

polynomial, and since our highest power2 is 3, this equation must have 3 solutions.

There is a way to find all three answers without using

complex numbers along the way, but it involves perfect

cube factoring and the quadratic formula – and takes like

7 steps.

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