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

The calculator will find the the x- and y-intercepts of $\left(x + 9\right)^{2} + \left(y - 6\right)^{2} = 102$, with steps shown.
Like x+2y=3, y=2x+5 or x^2+3x+4.

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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).

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