What is the diameter of the circle given by the equation x^2 + y^2 + 10x - 4y = 20?

Question

Mathematics

Dominick Pena

23 August, 02:30

What is the diameter of the circle given by the equation x^2 + y^2 + 10x - 4y = 20?

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Answers (1)

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Mara Nolan · Answer 1

Completando cuadrados seria x ^ 2 + 10x + 25 + y ^ 2-4y = 20 + 25 + 4

factorizamos (x + 5) ^ 2 + (y-2) ^ 2 = 49

pero como 49 es (7) ^ 2 lo Escribimos de la siguiente manera

(x + 5) ^ 2 + (y-2) ^ 2 = (7) ^ 2

Donde diametro es 2R=D, aplicamos la formula anteriior; 2 (7) = D

D=14