# Intercepts of $$$\left(x + 9\right)^{2} + \left(y - 6\right)^{2} = 102$$$

### Your Input

**Find find the x- and y-intercepts of $$$\left(x + 9\right)^{2} + \left(y - 6\right)^{2} = 102$$$.**

### Solution

To find the x-intercepts, substitute $$$y = 0$$$ into the equation and solve the resulting equation $$$\left(x + 9\right)^{2} + 36 = 102$$$ for $$$x$$$ (use the equation solver).

To find the y-intercepts, substitute $$$x = 0$$$ into the equation and solve the resulting equation $$$\left(y - 6\right)^{2} + 81 = 102$$$ for $$$y$$$ (use the equation solver).

### Answer

**x-intercepts: $$$\left(-9 + \sqrt{66}, 0\right)\approx \left(-0.87596159536404, 0\right)$$$, $$$\left(-9 - \sqrt{66}, 0\right)\approx \left(-17.12403840463596, 0\right)$$$.**

**y-intercepts: $$$\left(0, \sqrt{21} + 6\right)\approx \left(0, 10.58257569495584\right)$$$, $$$\left(0, 6 - \sqrt{21}\right)\approx \left(0, 1.41742430504416\right)$$$.**

**Graph: see the graphing calculator.**