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Solve 2 Variable Quadratic Equations & Inequalities

Solve 2 Variable Quadratic Equations & Inequalities
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2016-05-06 19:07
FunctionCoordinate GeometryInequality
This example demonstrates how to solve 2 variable quadratic equations and inequalities using GeoGebra. Key mathematical concepts include the solution methods for quadratic equations and inequalities. The construction involves objects like b, a, z0, etc., and demonstrates how to use GeoGebra commands for graphing. Suitable for high school math education and learning.

GeoGebra Commands & Parameters

  1. Numeric b(2)
  2. Numeric a(3)
  3. Numeric z0(-3.2)
  4. Point A_1(-2.172015697063056, 4.700552851600004)
  5. z = 0
  6. Numeric A(2.7)
  7. a_1(x, y) = (x - x(A_1))^(2) / a^(2) + (y - y(A_1))^(2) / b^(2) + z0
  8. e(x, y) = (A * a_1(x, y))
  9. (x - x(A_1))^(2) / a^(2) + (y - y(A_1))^(2) / b^(2) = abs(z0)
  10. Boolean f(false)
  11. Boolean g(false)
  12. (x - x(A_1))^(2) / a^(2) + (y - y(A_1))^(2) / b^(2) = abs(z0)
  13. z = 0
  14. (x - x(A_1))^(2) / a^(2) + (y - y(A_1))^(2) / b^(2) = abs(z0)
  15. (x - x(A_1))^(2) / a^(2) + (y - y(A_1))^(2) / b^(2) = abs(z0)
  16. (x - x(A_1))^(2) / a^(2) + (y - y(A_1))^(2) / b^(2) = abs(z0)
  17. Boolean j(false)

AI Drawing Prompt Reference

Draw a graph illustrating the solution of 2-variable quadratic equations and inequalities. The graph features a central point with several circles around it. Adjusting parameters a and b changes the size of the circles. Additionally, there are several curves representing solution sets under different conditions, such as z=0 and absolute value z0, which intersect with the circles to form the solutions of the equations.
The prompt above was compiled from the original drawing commands and is for reference only.