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Geometric Meaning of Solving Quadratic Equations by Factorization

Geometric Meaning of Solving Quadratic Equations by Factorization
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2020-07-07 22:01
FunctionCoordinate GeometryGeometric Construction
This example demonstrates the geometric meaning of solving quadratic equations by factorization. It involves key mathematical concepts such as quadratic equations and factorization. Using GeoGebra commands like Random, RandomElement, Expand, Root, etc., a dynamic geometric model of quadratic equations can be constructed. Suitable for students from middle school and above to learn the solution methods and geometric meanings of quadratic equations.

GeoGebra Commands & Parameters

  1. Random(-12, 12) → d
  2. Random(-12, 12) → b
  3. RandomElement(L1) → a
  4. RandomElement(L2) → c
  5. Expand(f) → g
  6. Root(f) → A, B
  7. FractionText(x(A)) → text1
  8. FractionText(x(B)) → text2
  9. Textfield(e) → InputBox1
  10. Textfield(h) → InputBox2
  11. If(i ≟ true ∧ j ≟ true, "Correct!", "No. Try again") → text5
  12. Factor(g) → p