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Review: Simplify

Review: Simplify. Review. Solve the equation 5) 6) 7). Chapter 8 section 2. The Quadratic Formula. Quadratic Equation. Standard form: ax 2 + bx + c = 0 with a ≠ 0. Determine the ‘a’, ‘b’, ‘c’. 1) 2x 2 – 6x + 7 = 0 2) 3) 4). Quadratic Formula.

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Review: Simplify

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  1. Review: Simplify

  2. Review Solve the equation 5) 6) 7)

  3. Chapter 8 section 2 The Quadratic Formula

  4. Quadratic Equation • Standard form: ax2 + bx + c = 0 with a ≠ 0

  5. Determine the ‘a’, ‘b’, ‘c’ 1) 2x2 – 6x + 7 = 0 2) 3) 4)

  6. Quadratic Formula • Solution of a quadratic equation in standard form ax2 + bx + c = 0 with a ≠ 0 x =

  7. Use the quadratic formula and solve 5) 6) 7)

  8. The Discriminant • b2 – 4ac • Greater than zero: Two unequal real solution • Equal to zero: One solution • Less than zero: Two imaginary solutions.

  9. Determine the number and type of solutions. 7) 8)

  10. Ways to Solve Quadratic Equations • Factor and use the zero-product property: ax2 + bx + c = 0 • Solve for x2 and use the square root property: ax2 + c = 0 • Use the square root property: x2 = c • Use the quadratic formula: ax2 + bx + c = 0

  11. Solve • 3x2 +5x – 2 = 0 • 4x2 – 7 = 0 • (x + 4)2 = 5 • x2 – 2x – 6 = 0

  12. Writing Quadratic Equations If solutions are -5 and 5, what is the equation? Solutions are: x = 5 and x = - 5 x – 5 = 0 or x = - 5 (x – 5)(x + 5) = 0

  13. Write the quadratic equation in standard form 9) 10)

  14. Summary • Quadratic Formula • Discriminant • Ways to Solve Quadratic Equations • Equation from Solutions

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