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MAFS.912.N-CN.3.7 – Solve quadratic equations with real coefficients that have complex solutions.

  1. The benchmark will be assessed using Drag and Drop Response, Equation Response, Multiple Choice Response or Multi-select Response.
  2. Items may require students to solve quadratics in one variable by completing the square, inspection, factoring, taking square roots and quadratic formula.
  3. Students will be required to recognize when the quadratic formula gives complex solutions and write them  a ± bi for real numbers a and b.
  4. Students may be required to rewrite a quadratic equation in vertex form.
  5. Students must be able to recall the quadratic formula from memory.

Example One

Example Two

Example Three

Additional Examples


Imaginary Roots
Complex Solutions
Quadratic Formula
Use the Discriminant
Graph with Complex Roots

Reference Sheet