Intercepts of $$$4 x^{2} - y^{2} - 16 = 0$$$
Your Input
Find find the x- and y-intercepts of $$$4 x^{2} - y^{2} - 16 = 0$$$.
Solution
To find the x-intercepts, substitute $$$y = 0$$$ into the equation and solve the resulting equation $$$4 x^{2} - 16 = 0$$$ for $$$x$$$ (use the equation solver).
To find the y-intercepts, substitute $$$x = 0$$$ into the equation and solve the resulting equation $$$- y^{2} - 16 = 0$$$ for $$$y$$$ (use the equation solver).
Answer
x-intercepts: $$$\left(-2, 0\right)$$$, $$$\left(2, 0\right)$$$.
No y-intercepts.
Graph: see the graphing calculator.
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