Find two numbers, given their sum and product
Description:
After you complete this Kata, please point out any issues present. Thank you!
Disclaimer
This is a step-up from the Sum and Multiply (author: Almusawi) and Find two doubles for the given sum and product (author: ProgramFOX) Kata, so I recommend solving those before this one.
Description
Complete the function find_numbers that, given two 64-bit integers (let us call them sum and product), returns a pair (C: struct) of complex doubles (e.g. sol1 and sol2, such that sol1 + sol2 ≅ sum and sol1 * sol2 ≅ product.
Requirements
Both elements must be calculated without any rounding or truncation: you pass the test if the absolute difference between your answers and the expected answers is not more than 10 ** -15 .
The sample test-cases have more information.
There are 150 tests in total: 5 fixed for purely real and purely complex numbers each, and 140 random cases.
Hint
If you know how to solve a quadratic equation, you know how to solve this.
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Stats:
| Created | Sep 10, 2022 |
| Warriors Trained | 8 |
| Total Skips | 0 |
| Total Code Submissions | 15 |
| Total Times Completed | 4 |
| C Completions | 4 |
| Total Stars | 0 |
| % of votes with a positive feedback rating | 0% of 1 |
| Total "Very Satisfied" Votes | 0 |
| Total "Somewhat Satisfied" Votes | 0 |
| Total "Not Satisfied" Votes | 1 |
| Total Rank Assessments | 1 |
| Average Assessed Rank | 7 kyu |
| Highest Assessed Rank | 7 kyu |
| Lowest Assessed Rank | 7 kyu |
