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Notes 5-2 Quadratic Formula and Discriminant

Master the quadratic formula and discriminant to solve equations efficiently and understand roots. Practice exercises included.

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Notes 5-2 Quadratic Formula and Discriminant

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  1. Notes 5-2Quadratic Formula and Discriminant Learning Target: I will solve quadratic equations by using the Quadratic Formula and use the discriminant to determine the number and type of roots of a quadratic equation.

  2. There is a formula that can solve any quadratic equation. This formula is called the Quadratic Formula.

  3. Solve each equation by using the Quadratic Formula

  4. The expression is called the discriminant. The value of this can be used to determine the number and type of roots of a quadratic equation.

  5. This Is on Page 268

  6. Find the value of the discriminant for each quadratic equation. Then describe the number and type of roots for the equation. Two Rational Roots 2. One Rational Root 3. Two Irrational Roots 4. Two Complex Roots

  7. Assignment Pg. 269 #1-13 all

  8. Complex Roots Solve Solve

  9. Assignment Pg. 270 #21-31 odd

  10. Steps to using the Quadratic Formula Step 1: Write in Standard Form Step 2: Identify a, b, and c Step 3: Substitute these value in the Quadratic Formula. Step 4: Simplify the Quadratic Formula Step 5: Write you answer as x = .

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