X^2 + x - 30 x/-5 = 1
You asked:
Investigate the equation: \({X}^{2} + x - \frac{30 x}{-5} = 1\).
MathBot Answer:
The graph of the equation \({X}^{2} + x - \frac{30 x}{-5} = 1\) is a parabola.
The coordinates of its vertex are: \(\left(0, \frac{1}{7}\right)\)
The coordinates of its focus are: \(\left(0, - \frac{45}{28}\right)\)
The directrix has equation: \(- \frac{4 x}{7} + \frac{53}{49} = 0\).
The parabola has parameterization: \[\begin{aligned}X\left(\theta\right) &= \theta\\x\left(\theta\right) &= \frac{1}{7} - \frac{\theta^{2}}{7}\end{aligned}\]