Roots of the quadratic equation: a geometric approach
Good day!
Given the quadratic equation , to find the roots geometrically. Draw the points and , and let the line joining these two points cut the unit circle with centre (0, 1) in points A and B. Project A and B from the point (0, 2) onto the x-axis at the points A' and B'. Then A' and B' are the roots of the given quadratic equation. (Karl G. C. von Staudt 1798-1867)
Try to explore and you will understand it more.
Prove the theorem
![Image](https://stage.geogebra.org/resource/jcbbmxq7/EH2RCguyGzekFyy6/material-jcbbmxq7.png)
![Image](https://stage.geogebra.org/resource/gwetrwzd/8h1kPNHr7WduDdQr/material-gwetrwzd.png)
Is it true that math is fun?