Explanation Formula used: The standard equation of the circle with center at ( h , k ) and radius r is ( x − h ) 2 + ( y − k ) 2 = r 2 . Calculation: Consider the given equation 2 x 2 + 2 y 2 − 16 = 4 x . The given equation of the circle is not in the standard form rewrite the equation into standard form as follows, 2 x 2 + 2 y 2 − 16 = 4 x 2 x 2 − 4 x + 2 y 2 = 16 Divide the equation by 2 on both sides. x 2 − 2 x + y 2 = 8 In order to complete the square of the x terms add 1 on both sides of the equation as follows, ( x 2 − 2 x + 1 ) + y 2 = 8 + 1 ( x <

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Chapter 21.3, Problem 29E

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To find: The center and radius of the circle 2x2+2y2−16=4x.

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Chapter 21.3, Problem 28E

Chapter 21.3, Problem 30E

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Chapter 21 Solutions

Pearson eText for Basic Technical Mathematics with Calculus -- Instant Access (Pearson+)

Ch. 21.1 - Find the distance between (−2, 6) and (5, −3). Ch. 21.1 - Prob. 2PE Ch. 21.1 - Prob. 1E Ch. 21.1 - Prob. 2E Ch. 21.1 - Prob. 5E Ch. 21.1 - In Exercises 5–14, find the distance between the...Ch. 21.1 - Prob. 7E Ch. 21.1 - Prob. 8E Ch. 21.1 - Prob. 9E Ch. 21.1 - Prob. 10E

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The center and radius of the circle 2 x 2 + 2 y 2 − 16 = 4 x .

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To find: The center and radius of the circle 2x2+2y2−16=4x.

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Chapter 21 Solutions