Question: 7. (15 points) You are a student being supported by a special scholarship at the House of Wisdom in Baghdad. One of your teachers, Prof.

7. (15 points) You are a student being supported by a special scholarship at the House of Wisdom in Baghdad. One of your

teachers, Prof. Khawarizmi asks you to nd a solution to the following

quadratic equation: 1 i372 + 5:1: = 28. (a) (5 points) Prof.

7. (15 points) You are a student being supported by a special scholarship at the House of Wisdom in Baghdad. One of your teachers, Prof. Khawarizmi asks you to nd a solution to the following quadratic equation: 1 i372 + 5:1: = 28. (a) (5 points) Prof. Khawarizmi wants you to solve this problem exactly the way he taught you. Please indulge him. (b) (5 points) Having studied a translation of Euclid's Elements, Book II, you real- ize that the geometric grounds are already established for Khawarizmi's method. Please express the equation and its solution using a geometric representation, and then state which specic result from Book II you can base the solution on? You may use our lecture notes or the following link: (c) (5 points) You analyze the problem further and realize there is another "quan- tity" that satisfies this quadratic equation. What is this "quantity" and what would Prof. Khawarizmi have to say about it

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