Question

x² -4x+y²+6y-24=0
Qual é o raio do circulo ?

Answer 1

X^2 - 4x + y^2 + 6y - 24 = 0

=> (X^2 - 4X ) + (Y^2 + 6Y) - 24 = 0

=> [(x)^2 + 2(x) (-2) + (-2)^2] + [(y)^2 + 2(y)(-3) + (-3)^2 ] - 24 = 0

=> x^2 - 4x + 4 + y^2 - 6y + 9 - 24 = 0

=> (x - 2)^2 + (y - 3)^2 + 4 + 9 = 24

=> (x - 2)^2 + (y - 3)^2 + 13 = 24

=> (x - 2)^2 + (y - 3)^2 = 24 - 13

=> ( x -2)^2 + (y - 3)^2 = 11

r ^2 = 11

r = \|11