Solve the following system for all solutions: (-3) + (y-2)2 = 16 2x +y 4 Two solutions Submit Answer Answer: and
Solve the following system for all solutions: (-3) + (y-2)2 = 16 2x +y 4 Two solutions Submit Answer Answer: and
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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Step 1
- 2x + y = 4, implies, y - 2 = 2x + 2
So, (x-3)² + (y-2)² = 16, implies,
(x-3)² + (2x+2)² = 16
So, x² - 6x + 9 + 4x² + 8x + 4 = 16
So, 5x² + 2x - 3 = 0
So, 5x² + 5x - 3x - 3 = 0
So, 5x(x+1) - 3(x+1) = 0
So, (5x - 3)(x+1) = 0
So, x = 3/5, -1
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