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The quadratic formula

The quadratic formula

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The quadratic formula

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  1. The quadratic formula §5.8

  2. The quadratic formula • A quadratic equation in standard form ax2 + bx + c = 0 can be solved with:

  3. Video • http://www.youtube.com/watch?v=EeVqtpuMFOU

  4. Example 1: using the quadratic formula The Quadratic Formula! • Step 1) Write in standard form. • Step 2) Find the values of a, b, and c. • Step 3) Use the Quadratic Formula. • Step 4) Simplify.

  5. Example 2: using the quadratic formula The Quadratic Formula! • Step 1) Write in standard form. • Step 2) Find the values of a, b, and c. • Step 3) Use the Quadratic Formula. • Step 4) Simplify.

  6. Example 3: using the quadratic formula The Quadratic Formula! • Step 1) Write in standard form. • Step 2) Find the values of a, b, and c. • Step 3) Use the Quadratic Formula. • Step 4) Simplify.

  7. Using the discriminant • Quadratic equations can have real or complex solutions. You can determine the type and number of solutions by finding the discriminant. • The discriminant of a quadratic equation in the form ax2 + bx+ c = 0 is the value of the expression b2 – 4ac. Discriminant

  8. Is this possible? If so, what are the possible answers? Using the discriminant

  9. Example 5: using the discriminant • Determine the type and number of solutions.

  10. CLASSWORK 1) x2 – 4x + 3 = 0 2) 3x2 + 2x – 1 = 0 3) x2 = 3x – 1 4) 8x2 – 2x – 3 = 0