Intercepts of $6 x^{2} - 30 \sqrt{2} x + 8 y^{2} - 8 \sqrt{2} y + 67 = 0$

The calculator will find the the x- and y-intercepts of $6 x^{2} - 30 \sqrt{2} x + 8 y^{2} - 8 \sqrt{2} y + 67 = 0$, 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 $6 x^{2} - 30 \sqrt{2} x + 8 y^{2} - 8 \sqrt{2} y + 67 = 0$.

Solution

To find the x-intercepts, substitute $y = 0$ into the equation and solve the resulting equation $6 x^{2} - 30 \sqrt{2} x + 67 = 0$ for $x$ (use the equation solver).

To find the y-intercepts, substitute $x = 0$ into the equation and solve the resulting equation $8 y^{2} - 8 \sqrt{2} y + 67 = 0$ for $y$ (use the equation solver).

x-intercepts: $\left(\frac{- 4 \sqrt{3} + 15 \sqrt{2}}{6}, 0\right)\approx \left(2.380833367553486, 0\right)$, $\left(\frac{4 \sqrt{3} + 15 \sqrt{2}}{6}, 0\right)\approx \left(4.690234444311989, 0\right)$.