Solve the following system for all solutions: a² + (y – 1)? = 41 2x + y = -5 Two solutions Submit Answer Answer: and

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.2: The Substitution Method
Problem 31WE
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Solve the following system for all solutions:
x² + (y – 1)2 = 41
2л + у 3 — 5
Two solutions
Submit Answer
Answer:
and
Transcribed Image Text:Solve the following system for all solutions: x² + (y – 1)2 = 41 2л + у 3 — 5 Two solutions Submit Answer Answer: and
Expert Solution
Step 1

2x + y = - 5, implies, y - 1 = - 2x - 6

So, x² + (y-1)² = 41, implies,

x² + (-2x-6)² = 41

So, x² + (2x+6)² = 41

So, x² + 4x² + 24x + 36 = 41

So, 5x² + 24x - 5 = 0

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