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

User Svfat
by
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1 Answer

4 votes
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
User Neshat
by
6.8k points
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