Intercepts of $$$5 x^{2} + 4 y^{2} - 20 = 0$$$

Find find the x- and y-intercepts of $$$5 x^{2} + 4 y^{2} - 20 = 0$$$.

To find the x-intercepts, substitute $$$y = 0$$$ into the equation and solve the resulting equation $$$5 x^{2} - 20 = 0$$$ for $$$x$$$ (use the equation solver).

To find the y-intercepts, substitute $$$x = 0$$$ into the equation and solve the resulting equation $$$4 y^{2} - 20 = 0$$$ for $$$y$$$ (use the equation solver).

x-intercepts: $$$\left(-2, 0\right)$$$, $$$\left(2, 0\right)$$$.

y-intercepts: $$$\left(0, \sqrt{5}\right)\approx \left(0, 2.23606797749979\right)$$$, $$$\left(0, - \sqrt{5}\right)\approx \left(0, -2.23606797749979\right)$$$.

Graph: see the graphing calculator.