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We proceed to complete the squares in x and in y. x²2²-2x+4y² + 8y + 1 = 0 x² - 2x + 4y² + 8y = -1 (x²-2x) +4(y² + 2y) = -1 Place the constant on the right side. Factor out 4 from the y-terms.

We proceed to complete the squares in x and in y. x²2²-2x+4y² + 8y + 1 = 0 x² - 2x + 4y² + 8y = -1 (x²-2x) +4(y² + 2y) = -1 Place the constant on the right side. Factor out 4 from the y-terms.

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 29CM
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How is the square completed?
We proceed to complete the squares in x and in y. x²-2x+4y² +8y + 1 = 0 x² - 2x+4y² + 8y = -1 (x²-2x) +4(y² + 2y) = -1 (x² - 2x + 1) +4(y² + 2y + 1) = −1+1+4.1 (x - 1)² + 4(y + 1)² (x-1)² 4(y + 1)² + 4 4 (x-1)² 4 = 4 4 - - + (y + 1)² = 1 Place the constant on the right side. Factor out 4 from the y-terms. Complete each square. Factor. Divide by 4. Simplify.
Transcribed Image Text:We proceed to complete the squares in x and in y. x²-2x+4y² +8y + 1 = 0 x² - 2x+4y² + 8y = -1 (x²-2x) +4(y² + 2y) = -1 (x² - 2x + 1) +4(y² + 2y + 1) = −1+1+4.1 (x - 1)² + 4(y + 1)² (x-1)² 4(y + 1)² + 4 4 (x-1)² 4 = 4 4 - - + (y + 1)² = 1 Place the constant on the right side. Factor out 4 from the y-terms. Complete each square. Factor. Divide by 4. Simplify.
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