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Mathematics

Algebraic methods for nonlinear intersections

Solve linear–nonlinear systems beyond the standard quadratic cases and reason about intersection coordinates without a calculator.

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Where this chapter sits in the course

Lessons

Chapter 33 of 34 · 8 short lessons · 39 min
  1. 1Linear and absolute-value systems5 min
  2. 2Linear and rational systems5 min
  3. 3Linear and radical systems5 min
  4. 4Linear and cubic systems5 min
  5. 5Linear and exponential systems4 min
  6. 6Parameters from intersection points4 min
  7. 7Intersection coordinates and quadratic roots5 min
  8. 8Challenge: Algebraic methods for nonlinear intersections6 min

What you'll learn

  • Solve linear systems with several types of nonlinear equations
  • Reject candidate intersections that violate an equation’s domain
  • Use intersection conditions and root relationships to find unknown values

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