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Intercepts of x2−4y2−36=0x^{2} - 4 y^{2} - 36 = 0

The calculator will find the the x- and y-intercepts of x2−4y2−36=0x^{2} - 4 y^{2} - 36 = 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 x2−4y2−36=0x^{2} - 4 y^{2} - 36 = 0.

Solution

To find the x-intercepts, substitute y=0y = 0 into the equation and solve the resulting equation x2−36=0x^{2} - 36 = 0 for xx (use the equation solver).

To find the y-intercepts, substitute x=0x = 0 into the equation and solve the resulting equation −4y2−36=0- 4 y^{2} - 36 = 0 for yy (use the equation solver).

Answer

x-intercepts: (−6,0)\left(-6, 0\right), (6,0)\left(6, 0\right).

No y-intercepts.

Graph: see the graphing calculator.