Question

hola buenas tardes podrian ayudarme a partir de la ecuación 9x2+25y2+18x-50y-191=0 Factorizar los trinomios.

Answer 1

Respuesta:

Explicación paso a paso:

$9x^{2}+25y^{2}+18x-50y-191=0\\\\9x^{2}+18x+25y^{2}-50y-191=0\\\\9x^{2}+18x+25y^{2}-50y=191\\\\9x^{2}+18x+(\frac{18}{2})^{2}+25y^{2}-50y+(\frac{50}{2})^{2}=191+(\frac{18}{2})^{2}+(\frac{50}{2})^{2}\\\\9x^{2}+18x+81+25y^{2}-50y+625=191+81+625\\\\9x^{2}+18x+81+25y^{2}-50y+625=897\\\\(3x+9)^{2}+(5y-25)^{2}=897$

Saludos