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Warm up – Solve by Taking Roots

Warm up – Solve by Taking Roots. Steps to Completing the Square. 1. Move the constant to the other side. 2. Add to BOTH sides of the eqn. 3. Factor the left! Inside the parenthesis will have the SIGN of b. 4. Take the square root of both sides. 5. Solve for x.

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Warm up – Solve by Taking Roots

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  1. Warm up – Solve by Taking Roots

  2. Steps to Completing the Square 1. Move the constant to the other side. 2. Add to BOTH sides of the eqn. 3. Factor the left! Inside the parenthesis will have the SIGN of b. 4. Take the square root of both sides. 5. Solve for x.

  3. Questions over HW?

  4. The Discriminant

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

  6. Put the quadratic in standard form first!

  7.  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.

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

  9. Discriminant 2 real Roots ZerO Negative

  10. Discriminant One real Root Positive Negative

  11. Discriminant 2 imaginary Roots Positive ZerO

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

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

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

  15. Solving by the Quadratic Formula

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

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

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

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

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

  21. Homework Solving Quadratics WS

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