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Warm up – Solve by Taking Roots

This resource provides a comprehensive guide to using the discriminant to determine the number and type of solutions for quadratic equations. The discriminant helps identify whether there are two distinct real roots, one real root, or two imaginary roots. With visual tools like foldable notes, students will learn to classify the discriminant as positive, zero, or negative, alongside examples demonstrating how to apply the quadratic formula to find solutions. Engage with practice questions to reinforce your understanding of quadratic roots.

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Warm up – Solve by Taking Roots

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  1. Warm up – Solve by Taking Roots

  2. Questions over HW?

  3. The Discriminant

  4. The Discriminant tells how many & what type of solutions the quadratic has.

  5. Put the quadratic in standard form first!

  6.  If the discriminant is POSITIVE, then you will have 2 real roots.  If the discriminant is ZERO, then you will have 1 real root.  If the discriminant is NEGATIVE, then you will have 2 imaginary roots.

  7. Discriminant Foldable Notes Fold your paper over (top to bottom leaving about an inch at the bottom). Positive ZerO Negative

  8. Discriminant 2 real Roots ZerO Negative

  9. Discriminant One real Root Positive Negative

  10. Discriminant 2 imaginary Roots Positive ZerO

  11. Determine the number & types of roots.Example: 1 2 Imaginary Roots

  12. Determine the number & type of roots.Example: 2 1 Real Root

  13. Determine the number & type of roots.Example: 3 2 Real Roots

  14. Solving by the Quadratic Formula

  15. Quadratic Formula Everything must be on the same side of the equals sign before solving

  16. Question #1Use the quadratic formula to find the zeros.

  17. Question #2Use the quadratic formula to find the zeros.

  18. Question #3Use the quadratic formula to find the zeros.

  19. Question #4Use the quadratic formula to find the zeros.

  20. Homework Solving Quadratics WS

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