Question

explain why the video instructor was unable to solve his last example, 16x^2 - 25y^2 = 0.

Explanation:

Answer:

The equation \(16x^{2}-25y^{2}=0\) can be factored as \((4x - 5y)(4x+5y)=0\), which represents two intersecting lines \(y=\frac{4}{5}x\) and \(y =-\frac{4}{5}x\). It may have been considered "unsolvable" in the context of the video if the instructor was expecting a different - type of conic - section solution (like an ellipse, hyperbola, or parabola in a non - degenerate form). If the focus was on non - degenerate conics, this equation represents a degenerate case.