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Solving Quadratic Equations - Quadratic Formula

Solving Quadratic Equations - Quadratic Formula
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2019-03-17 03:04
Coordinate Geometry
This example demonstrates solving quadratic equations using the quadratic formula. Key mathematical concepts include quadratic equations, discriminants, and the nature of their solutions. Using GeoGebra commands such as If, Intersect, and Point, the example dynamically shows how the solutions change. Suitable for students in middle school and above.

GeoGebra Commands & Parameters

  1. If(c < 0, "-", "+") → signcc
  2. If(c ≠ 0, signcc + absc, "") → text6
  3. If(b < 0, "-", "+") → signbb
  4. If(a < 0, "-", "") → signa
  5. If(a ≟ 0, "", If[absa ≟ 1, signa + "x^2", a + "x^2"]) → text5
  6. If(b ≟ 0, "", If[a ≠ 0 ∧ absb ≠ 1, signbb + absb + "x", signbb + "x"]) → text7
  7. If(b < 0, "-", "") → signb
  8. If(c < 0, "-", "") → signc
  9. If(a < 0, "-", "+") → signaa
  10. If(b < 0, "(" + b + ")", "" + b) → text3
  11. If(c < 0, "(" + c + ")", "" + c) → text4
  12. If(a < 0, "(" + a + ")", "" + a) → text11
  13. If(a < 0, "(" + a + ")", "" + a) → text11_1
  14. Intersect(d, xAxis) → A, B
  15. Point(e) → C
  16. Point(e) → D_1
  17. Vector(C, D_1) → u
  18. Point(f) → E
  19. Point(f) → F
  20. Vector(E, F) → v
  21. If(Disc ∈ list1, "", ("x=" * sol_3)) → text22
  22. If(Disc ∈ list1, "", "x=" + sol_4) → text23