Vx÷30 +5+Vx÷15+Vx-150-(1÷3 Vx)÷10=0

asked by guest
on Nov 24, 2024 at 10:20 pm



You asked:

Investigate the equation: \(\frac{V x}{30} + 5 + \frac{V x}{15} + V x - 150 - \frac{\frac{1}{3} \cdot V x}{10} = 0\).

MathBot Answer:

The graph of the equation \(\frac{V x}{30} + 5 + \frac{V x}{15} + V x - 150 - \frac{\frac{1}{3} \cdot V x}{10} = 0\) is a hyperbola.

The coordinates of its foci are: \(\left(- \frac{5 \sqrt{174}}{4}, - \frac{5 \sqrt{174}}{4}\right)\) and \(\left(\frac{5 \sqrt{174}}{4}, \frac{5 \sqrt{174}}{4}\right)\).

The coordinates of its vertices are: \(\left(- \frac{5 \sqrt{87}}{4}, - \frac{5 \sqrt{87}}{4}\right)\) and \(\left(\frac{5 \sqrt{87}}{4}, \frac{5 \sqrt{87}}{4}\right)\).

The asymptotes have equations: \(- 5 \sqrt{87} V = 0\) and \(- 5 \sqrt{87} x = 0\).

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