You’ve provided the equation \( y^2 - xy = 2 \).

Would you like to:

- Solve for \( y \) in terms of \( x \)?
- Solve for \( x \) in terms of \( y \)?
- Factor or simplify the equation?
- Explore some specific property of the equation?

Let me know how you’d like to proceed!

### 5 Questions to Expand:

1. Would you like to solve for \( y \) using quadratic techniques?
2. Do you need to explore the discriminant of the quadratic equation?
3. Should we consider graphing this equation to understand its behavior visually?
4. Are you interested in finding specific solutions for integer values of \( x \)?
5. Would you like to explore how this equation relates to conic sections?

**Tip:** When dealing with quadratic equations in two variables, graphing can offer valuable insights into the solution set and possible intersections!

Explore how to solve the quadratic equation y² - xy = 2 step by step, covering essential algebraic concepts like the quadratic formula and discriminant. This problem is suitable for students in Grades 9-12 and provides insight into solving two-variable quadratic equations.

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