Use the Pythagorean identity. (x² - y²)² + (2xy)² = (x² + y²)², to create a Pythagorean triple. Follow these steps: 1. Choose two numbers and identify which is replacing and which is replacing y. 2. How did you know which number to use for x and for y 3. Explain how to find a Pythagorean triple using those numbers. 4. Explain why at least one leg of the triangle that the Pythagorean triple represents must have an even-numbered length.
Use the Pythagorean identity. (x² - y²)² + (2xy)² = (x² + y²)², to create a Pythagorean triple. Follow these steps: 1. Choose two numbers and identify which is replacing and which is replacing y. 2. How did you know which number to use for x and for y 3. Explain how to find a Pythagorean triple using those numbers. 4. Explain why at least one leg of the triangle that the Pythagorean triple represents must have an even-numbered length.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Use the Pythagorean identity. (x² - y²)² + (2xy)² = (x² + y²)², to create a Pythagorean triple.
Follow these steps:
1. Choose two numbers and identify which is replacing and which is replacing y.
2. How did you know which number to use for x and for y
3. Explain how to find a Pythagorean triple using those numbers.
4. Explain why at least one leg of the triangle that the Pythagorean triple represents must have an even-numbered length.
Number your responses from 1 to 4 so your instructor can tell which question you're responding to.
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