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Identify the conic section $$$\frac{10787}{100} = \frac{11643684535681 x^{2}}{10000}$$$
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Identify and find the properties of the conic section $$$\frac{10787}{100} = \frac{11643684535681 x^{2}}{10000}$$$.
Solution
The general equation of a conic section is $$$A x^{2} + B x y + C y^{2} + D x + E y + F = 0$$$.
In our case, $$$A = \frac{11643684535681}{10000}$$$, $$$B = 0$$$, $$$C = 0$$$, $$$D = 0$$$, $$$E = 0$$$, $$$F = - \frac{10787}{100}$$$.
The discriminant of the conic section is $$$\Delta = 4 A C F - A E^{2} - B^{2} F + B D E - C D^{2} = 0$$$.
Next, $$$B^{2} - 4 A C = 0$$$.
Since $$$\Delta = 0$$$, this is the degenerated conic section.
Since $$$B^{2} - 4 A C = 0$$$, the equation represents two parallel lines.
Answer
$$$\frac{10787}{100} = \frac{11643684535681 x^{2}}{10000}$$$A represents a pair of the lines $$$x = - \frac{10 \sqrt{125600425086390947}}{11643684535681}$$$, $$$x = \frac{10 \sqrt{125600425086390947}}{11643684535681}$$$A.
General form: $$$\frac{11643684535681 x^{2}}{10000} - \frac{10787}{100} = 0$$$A.
Factored form: $$$\left(11643684535681 x - 10 \sqrt{125600425086390947}\right) \left(11643684535681 x + 10 \sqrt{125600425086390947}\right) = 0.$$$A
Graph: see the graphing calculator.