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Solving Equations and Inequalities with GeoGebra

Solving Equations and Inequalities with GeoGebra
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2023-02-15 14:37
FunctionInequalityGeometric Construction
In collections 数式処理(CAS) を学ぶ
This example demonstrates solving equations and inequalities using GeoGebra. Key mathematical concepts include equation solving, inequality analysis, and geometric construction. The construction involves objects like eq1, eq2, eq1_1, eq1_2, eq1_3, eq1_4, suitable for middle school students or teachers for educational purposes.

GeoGebra Commands & Parameters

  1. eq1: (3 * (x - 2)) = (5 * x) + 14
  2. Solve(eq1, x)
  3. eq2: (2 * x^(2)) - x = 21
  4. Solve(eq2, x)
  5. Solve(((6 * x)) / (x + 3) - x / (x - 3) = 2)
  6. Solve((12 * ℯ^(x)) = 150)
  7. Solve((a * ln((b * x) + c)) = d)

AI Drawing Prompt Reference

Create a math teaching diagram illustrating equation and inequality solving. In the center, place a coordinate plane. On the left, list several algebraic equations: a linear equation, a quadratic equation, a rational equation, an exponential equation, and a logarithmic equation with parameters. Below each equation, use dashed boxes to indicate solution sets, with arrows pointing to corresponding points or intervals on a number line. Use a clean geometric style, color-code different equation types, and set a light grid background suitable for classroom display.
The prompt above was compiled from the original drawing commands and is for reference only.