Answer to Question #254825 in Analytic Geometry for Lyra

Question

17x²+7y²=119

Answer 1

Let us divide both parts of the equation by 119. Then we get the equation $\frac{x^2}7+\frac{y^2}{17}=1.$ It follows that this equation is an equation of the ellipse with center in the origin and with

semi-major axis $\sqrt{17}$ and semi-minor axis $\sqrt{7}.$