Final answer:
The question seems to be about finding the solutions of quadratic equations using the quadratic formula based on provided values for a, b, and c.
Step-by-step explanation:
The student appears to be asking a question related to the solution of quadratic equations using the quadratic formula. The given tuples (e.g., (2a, −5b, 17c) = (55, 12, 11)) seem to be incorrectly presented in the question. Instead, assignment examples are provided where values for a, b, and c are given, and these values are substituted into the quadratic formula to find the roots of a quadratic equation. Examples include substituting a = 3, b = 13, c = -10; and a = 1, b = 0.0211, c = -0.0211 into the quadratic formula.
For instance, using a = 1.00, b = 10.0, and c = -200 in the quadratic formula:
−10.0 ± √(10.0)² − 4 × 1.00 × (−200)
2 × 1.00
This would provide the solutions to the quadratic equation.