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Intercepts of $$$\left(x - 5\right)^{2} + \left(y + 3\right)^{2} = 16$$$
Your Input
Find find the x- and y-intercepts of $$$\left(x - 5\right)^{2} + \left(y + 3\right)^{2} = 16$$$.
Solution
To find the x-intercepts, substitute $$$y = 0$$$ into the equation and solve the resulting equation $$$\left(x - 5\right)^{2} + 9 = 16$$$ for $$$x$$$ (use the equation solver).
To find the y-intercepts, substitute $$$x = 0$$$ into the equation and solve the resulting equation $$$\left(y + 3\right)^{2} + 25 = 16$$$ for $$$y$$$ (use the equation solver).
Answer
x-intercepts: $$$\left(\sqrt{7} + 5, 0\right)\approx \left(7.645751311064591, 0\right)$$$, $$$\left(5 - \sqrt{7}, 0\right)\approx \left(2.354248688935409, 0\right)$$$.
No y-intercepts.
Graph: see the graphing calculator.
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