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Intercepts of $$$2 x^{2} + 9 y^{2} - 18 = 0$$$

The calculator will find the the x- and y-intercepts of $$$2 x^{2} + 9 y^{2} - 18 = 0$$$, 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 $$$2 x^{2} + 9 y^{2} - 18 = 0$$$.

Solution

To find the x-intercepts, substitute $$$y = 0$$$ into the equation and solve the resulting equation $$$2 x^{2} - 18 = 0$$$ for $$$x$$$ (use the equation solver).

To find the y-intercepts, substitute $$$x = 0$$$ into the equation and solve the resulting equation $$$9 y^{2} - 18 = 0$$$ for $$$y$$$ (use the equation solver).

Answer

x-intercepts: $$$\left(-3, 0\right)$$$, $$$\left(3, 0\right)$$$.

y-intercepts: $$$\left(0, \sqrt{2}\right)\approx \left(0, 1.414213562373095\right)$$$, $$$\left(0, - \sqrt{2}\right)\approx \left(0, -1.414213562373095\right)$$$.

Graph: see the graphing calculator.