Contents
- Why, in imaginary numbers, is the imaginary part on the y-axis?
- Can you explain the concept of “imaginary” roots in mathematics when solving cubic/quadratic equations?
- Videos
Why, in imaginary numbers, is the imaginary part on the y-axis?
Actually the imaginary part is not on the y axis.
The imaginary part is on a new axis called the imaginary x axis.
I realise that may sound stupid so I will show you on a diagram…
The WHITE point on the imaginary x plane is the point x = 1 + 2i
To get a better idea please watch my short video…
You will find it easy to understand.
Lloyd, Philip. 2024. “Why, in Imaginary Numbers, Is the Imaginary Part on the y-Axis?” Quora. Accessed June 14. https://qr.ae/psmLk6.
Can you explain the concept of “imaginary” roots in mathematics when solving cubic/quadratic equations?
Lloyd, Philip. 2024. PHANTOM GRAPHS. Accessed June 14. https://phantomgraphs.weebly.com/.
“In simple terms, the solutions of an equation are where its graph crosses the x axis. Some graphs do not cross the x axis but we still say they have solutions which people call ‘imaginary’.” It was this “imaginary” concept which many students struggle to accept. Because they can’t see it, many tended to find it difficult to believe. “I found that graphs have ‘extra bits’ on them which I call ‘phantom graphs’ and these actually do cross the x axis. In fact, I found that the imaginary solutions are at real places.”
Videos
The featured image on this page is from the A brief history to imaginary numbers page on the BBC Science Focus website.
Mathematical Mysteries 