Example 15: A problem leading to the case “squares and numbers = roots” [Rosen 1831, 51]
I have divided ten into two parts; I have multiplied the one by ten and the other by itself, and the products were the same; then the computation is this:
You multiply thing by ten; it is ten things. Then multiply ten less thing by itself; it is a hundred and a square less twenty things, which is equal to ten things.
Reduce this according to the rules, which I have above explained to you.
Continue to Classroom Implementation and Concluding Remarks.
Back to Overview of al-Khwārizmī’s More Complicated Problems.