Solving Quadratic Equations by James McMullan

Solving Quadratic Equations by James McMullan
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2017-04-13 08:41
This example demonstrates the graphical solution of quadratic equations using GeoGebra. It involves core mathematical concepts such as quadratic equation solving, function graphs, and analytical geometry. Key GeoGebra commands and objects used include Random, Textfield, Simplify, Expand, Min, Max, If, and elements like sig, b1, b0, b2, r1, unit, v, sol, SOL, InputBox1, a, text1, button1, text2, simp, base, f, ls, text3, s2, s1, InputBox2, InputBox3, r2, text4, text5, text7, solutions, rr1, rr2, text6, text8 for interactive solving and visualization. Suitable for high school mathematics teaching or self-study to understand the relationship between quadratic equations and their graphs.

GeoGebra Commands & Parameters

  1. Random(2, 24, true) → b2
  2. Textfield(v) → InputBox1
  3. Simplify(((Random[1, 5] * RandomElement[sig]) * x^(2)) + (Random[-20, 20] * x) + Random[-20, 20]) → simp
  4. Expand(base) → f
  5. Simplify(f(x) + simp(x)) → ls
  6. Textfield(s1) → InputBox2
  7. Textfield(s2) → InputBox3
  8. Min(solutions) → rr1
  9. Max(solutions) → rr2
  10. If(abs(s1 - rr1) < 0.05, "✓", "X") → text6
  11. If(abs(s2 - rr2) < 0.05, "✓", "X") → text8