Buenas a todos?

Debemos hacer una un sistema de ecuaciones de tres incógnitas con la fórmula general de la circunferencia :

•x² + y² + Ax + By + C =

Primera ecuación :

<img src="https://tex.z-dn.net/?f=%7B%288%29%5E2%2B%289%29%5E2%2BA%288%29%2BB%289%29%2BC%3D0%7D%5C%5C%5C%5C%7B%5Cboxed%7B8A%2B9B%2BC%3D-145%7D%7D" />

Segunda ecuación :

<img src="https://tex.z-dn.net/?f=%7B%285%29%5E2%2B%2813%29%5E2%2BA%285%29%2BB%2813%29%2BC%3D0%7D%5C%5C%5C%5C%7B%5Cboxed%7B5A%2B13B%2BC%3D-194%7D%7D" />

Tercera ecuación :

<img src="https://tex.z-dn.net/?f=%7B%2812%29%5E2%2B%281%29%5E2%2BA%2812%29%2BB%281%29%2BC%3D0%7D%5C%5C%5C%5C%7B%5Cboxed%7B12A%2BB%2BC%3D-145%7D%7D" />

Ahora resolvemos el sistema por el método de reducción, buscando la ecuación 4 y 5

<img src="https://tex.z-dn.net/?f=%7B12A%2BB%2BC%3D-145%7D%5C%5C%7B5A%2B13B%2BC%3D-194%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5Ctimes%28-%29%7D%5C%5C%5C%5C%7B12A%2BB%2BC%3D-145%7D%5C%5C%7B-5A-13B-C%3D194%7D%5C%5C%7B%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%7D%5C%5C%7B%5Cboxed%7B7A-12B.......%3D49%7D%5Cto%20%5Ctext%7Becuaci%5C%27on%20cuatro%7D%7D%5C%5C%5C%5C%5C%5C%7B8A%2B9B%2BC%3D-145%7D%5C%5C%7B12A%2BB%2BC%3D-145%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5Ctimes%28-%29%7D%5C%5C%5C%5C%7B8A%2B9B%2BC%3D-145%7D%5C%5C%7B-12A-B-C%3D145%7D%5C%5C%7B%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%7D%5C%5C%7B%5Cboxed%7B-4A%2B8B.....%3D0%7D%5Cto%20%5Ctext%7Becuaci%5C%27on%20cinco%7D%7D" />

Ahora eliminamos una de las incógnitas y despejamos otra :

<img src="https://tex.z-dn.net/?f=%7B7A-12B%3D49%5C%20%5C%20%5C%20%5C%20%5C%20%5Ctimes%282%29%7D%5C%5C%7B-4A%2B8B%3D0%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5Ctimes%20%283%29%7D%5C%5C%5C%5C%7B14A-24B%3D98%7D%5C%5C%7B-12A%2B24B%3D0%7D%5C%5C%7B%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%5C_%7D%5C%5C%7B2A......%3D98%7D%5C%5C%7BA%3D98%2F2%7D%5C%5C%7B%5Cboxed%7BA%3D49%7D%7D%5C%5C%5C%5C%7B%5Ctext%7Breemplazo%20el%20valor%20de%20A%20en%20una%20de%20las%20ecuaciones%7D%7D%5C%5C%7B-4A%2B8B%3D0%7D%5C%5C%7B-4%2849%29%2B8B%3D0%7D%5C%5C%7B8B%3D196%7D%5C%5C%7BB%3D196%2F8%7D%5C%5C%7B%5Cboxed%7BB%3D49%2F2%7D%7D%5C%5C%5C%5C%7B%5Ctext%7Breemplazo%20ambos%20valores%7D%7D%5C%5C%7B12A%2BB%2BC%3D-145%7D%5C%5C%7B12%2849%29%2B%2849%2F2%29%2BC%3D-145%7D%5C%5C%7B%5Cboxed%7BC%3D-1515%2F2%7D%7D%5C%5C%5C%5C%7B%5Ctext%7Bnuestra%20ecuaci%5C%27on%20quedar%5C%27a%3A%7D%7D%5C%5C%7Bx%5E2%2By%5E2%2B49x%2B%2849%2F2%29y-1515%2F2%3D0%7D%5C%5C%5C%5C%7B2x%5E2%2B2y%5E2%2B98x%2B49y-1515%3D0%7D" />

Salu2!

: )

Wellington.