Intercepts of $$$64 x^{2} - 768 x - y^{2} + 10 y + 2343 = 0$$$
Your Input
Find find the x- and y-intercepts of $$$64 x^{2} - 768 x - y^{2} + 10 y + 2343 = 0$$$.
Solution
To find the x-intercepts, substitute $$$y = 0$$$ into the equation and solve the resulting equation $$$64 x^{2} - 768 x + 2343 = 0$$$ for $$$x$$$ (use the equation solver).
To find the y-intercepts, substitute $$$x = 0$$$ into the equation and solve the resulting equation $$$- y^{2} + 10 y + 2343 = 0$$$ for $$$y$$$ (use the equation solver).
Answer
No x-intercepts.
y-intercepts: $$$\left(0, 5 - 8 \sqrt{37}\right)\approx \left(0, -43.662100242385758\right)$$$, $$$\left(0, 5 + 8 \sqrt{37}\right)\approx \left(0, 53.662100242385758\right)$$$.
Graph: see the graphing calculator.
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