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Intercepts of $$$16 x^{2} - 64 x + 15 y^{2} - 180 y + 364 = 0$$$

The calculator will find the the x- and y-intercepts of $$$16 x^{2} - 64 x + 15 y^{2} - 180 y + 364 = 0$$$, with steps shown.
Like x+2y=3, y=2x+5 or x^2+3x+4.

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Your Input

Find find the x- and y-intercepts of $$$16 x^{2} - 64 x + 15 y^{2} - 180 y + 364 = 0$$$.

Solution

To find the x-intercepts, substitute $$$y = 0$$$ into the equation and solve the resulting equation $$$16 x^{2} - 64 x + 364 = 0$$$ for $$$x$$$ (use the equation solver).

To find the y-intercepts, substitute $$$x = 0$$$ into the equation and solve the resulting equation $$$15 y^{2} - 180 y + 364 = 0$$$ for $$$y$$$ (use the equation solver).

Answer

No x-intercepts.

y-intercepts: $$$\left(0, 6 - \frac{4 \sqrt{165}}{15}\right)\approx \left(0, 2.574604645689299\right)$$$, $$$\left(0, \frac{4 \sqrt{165}}{15} + 6\right)\approx \left(0, 9.425395354310701\right)$$$.

Graph: see the graphing calculator.


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