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Intercepts of $$$- 2 x^{2} + 6 x - y - 3 = 0$$$

The calculator will find the the x- and y-intercepts of $$$- 2 x^{2} + 6 x - y - 3 = 0$$$, 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 $$$- 2 x^{2} + 6 x - y - 3 = 0$$$.

Solution

To find the x-intercepts, substitute $$$y = 0$$$ into the equation and solve the resulting equation $$$- 2 x^{2} + 6 x - 3 = 0$$$ for $$$x$$$ (use the equation solver).

To find the y-intercepts, substitute $$$x = 0$$$ into the equation and solve the resulting equation $$$- y - 3 = 0$$$ for $$$y$$$ (use the equation solver).

Answer

x-intercepts: $$$\left(\frac{3}{2} - \frac{\sqrt{3}}{2}, 0\right)\approx \left(0.633974596215561, 0\right)$$$, $$$\left(\frac{\sqrt{3} + 3}{2}, 0\right)\approx \left(2.366025403784439, 0\right)$$$.

y-intercept: $$$\left(0, -3\right)$$$.

Graph: see the graphing calculator.