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Advanced Quadratic Forms, Discriminant, and Optimization

11th Grade · Math · Open Global Math

6 lessons

Goal

Analyze quadratic forms using discriminant analysis, solve equations reducible to quadratics, and optimize objective functions via completing the square.

6 lessons
0 of 6 done
  1. Using the Discriminant to Determine the Nature of RootsUp next
  2. Finding Parameter Ranges Using the DiscriminantNot started yet
  3. Completing the Square for General Quadratic ExpressionsNot started yet
  4. Optimizing Quadratic Objective FunctionsYou are here
  5. Solving Equations in Quadratic Form by SubstitutionNot started yet
  6. Solving Trigonometric and Exponential Equations in Quadratic FormNot started yet
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Learning standards covered

GlobalOGM.12.ALG.3Open Global Math Standards 2026™ · 11th Grade

Solve quadratic equations in a function of the unknown, utilize the discriminant to determine root nature, and complete the square to analyze quadratic forms and optimize objective functions.