3 years ago

Change the equation of the circle x^2+14x+y^2-10y=14x 2 + 14 x + y 2 − 10 y = 14 into center-radius form of a circle.

Mathematics

1 answer:

jonny [76]3 years ago

7 0

Answer:

The answer to your question is (x + 7)² + (y - 5)² = 88

Step-by-step explanation:

Equation

x² + 14x + y² - 10y = 14

Complete perfect trinomial squares

x² + 14x + (7)² + y² - 10y + (5)² = 14 + (7)² + (5)²

Simplify

x² + 14x + (7)² + y² - 10y + (5)² = 14 + 49 + 25

x² + 14x + (7)² + y² - 10y + (5)² = 88

Factor

(x + 7)² + (y - 5)² = 88 This is the equation in the form

center-radius

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