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Solving Quadratic Equations using Quadratic Formula by Hisham Amir

Solving Quadratic Equations using Quadratic Formula by Hisham Amir
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2015-12-21 16:26
FunctionCoordinate GeometryOptimizationSlider AnimationGraphing
This example demonstrates how to solve quadratic equations using the quadratic formula and visualizes the solution process. Key math concepts include quadratic equations, discriminant, and properties of roots. It utilizes GeoGebra commands like Random, Textfield, If, and objects such as l2, l3, l1, l, r2, r1, r3, r, text1, a, b, c, d, m, text3, nr1, nr2, nr3, nr, text4, text5, text6, text7, text8, text9, text10, nb, bs, fac, ta, e, button1, s1, s2, text15, text13, text19, text20, text21, text22. Suitable for high school mathematics teaching or self-study to help understand the method of solving quadratic equations.

GeoGebra Commands & Parameters

  1. Random(1, 10) → l2
  2. Random(4, 6) → l3
  3. Random(5, 7) → l1
  4. Random(-10, -1) → r2
  5. Random(2, 3) → r1
  6. Random(7, 10) → r3
  7. Textfield(s3) → inputBox1
  8. Textfield(s4) → inputBox2
  9. If(abs(s1 - s3) < 0.005 ∨ abs(s1 - s4) < 0.005 ∧ (di > 0.005 ∨ dj > 0.005), true, false) → tr
  10. If(abs(s1 - s3) < 0.005 ∨ abs(s1 - s4) < 0.005, true, false) → tr1
  11. If(abs(s1 - s3) > 0.005 ∨ abs(s1 - s4) > 0.005, true, false) → tr2
  12. If(tr1 ∧ tr2, true, false) → tr3
  13. If(abs(s2 - s3) < 0.005 ∨ abs(s2 - s4) < 0.005, true, false) → tr4
  14. If(abs(s2 - s4) > 0.005 ∨ abs(s2 - s3) > 0.005, true, false) → tr5
  15. If(tr4 ∧ tr5, true, false) → tr6
  16. If(tr3 ∧ tr6, true, false) → tr7