Given the equation: x² - 8x + y² + 4y = 1 Use completing the square method to convert this equation into the standard form of a circle, and then state the coordinates of the center and the radius of the circle. Hint: Standard form of a circle is (x - h)² + (y - k)² = r², r > 0

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Chapter7: Conic Sections And Quadratic Systems
Section7.CT: Chapter Test
Problem 20CT
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Given the equation: x² - 8x + y² +
4y = 1
Use completing the square method to
convert this equation into the standard
form of a circle, and then state the
coordinates of the center and the
radius of the circle.
Hint: Standard form of a circle is (x -
h)² + (y - k)² = r², r > 0
Transcribed Image Text:2 2 Given the equation: x² - 8x + y² + 4y = 1 Use completing the square method to convert this equation into the standard form of a circle, and then state the coordinates of the center and the radius of the circle. Hint: Standard form of a circle is (x - h)² + (y - k)² = r², r > 0
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