Intercepts of $$$x^{2} - 2 x - 20 y - 39 = 0$$$

Find find the x- and y-intercepts of $$$x^{2} - 2 x - 20 y - 39 = 0$$$.

To find the x-intercepts, substitute $$$y = 0$$$ into the equation and solve the resulting equation $$$x^{2} - 2 x - 39 = 0$$$ for $$$x$$$ (use the equation solver).

To find the y-intercepts, substitute $$$x = 0$$$ into the equation and solve the resulting equation $$$- 20 y - 39 = 0$$$ for $$$y$$$ (use the equation solver).

x-intercepts: $$$\left(1 - 2 \sqrt{10}, 0\right)\approx \left(-5.324555320336759, 0\right)$$$, $$$\left(1 + 2 \sqrt{10}, 0\right)\approx \left(7.324555320336759, 0\right)$$$.

y-intercept: $$$\left(0, - \frac{39}{20}\right) = \left(0, -1.95\right)$$$.

Graph: see the graphing calculator.