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# 5.5 – The Quadratic formula

5.5 – The Quadratic formula. Objectives: Use the quadratic formula to find real roots of quadratic equations. Use the roots of a quadratic equation to locate the axis of symmetry of a parabola. Standard: 2.8.11.N. Solve quadratic equations. . a = -1 b = -3 c = 8.

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## 5.5 – The Quadratic formula

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1. 5.5 – The Quadratic formula Objectives: Use the quadratic formula to find real roots of quadratic equations. Use the roots of a quadratic equation to locate the axis of symmetry of a parabola. Standard: 2.8.11.N. Solve quadratic equations.

2. a = -1 b = -3 c = 8 a = 4 b = 2 c = -3 a = 1 b = -6 c = 7 a = -4 b = -5 c = -5

3. QUADRATIC FORMULA: • If ax2+ bx + c = 0 and a ≠ 0, then the solutions, or roots, are

4. Use the quadratic formula to find the roots. Give exact solutions & approximate solutions to the nearest tenth.

5. Example 1a. x2 – 7x + 6 = 0 a = 1, b = -7, c = 6 or or

6. Example 1b 4x2 = 8 – 3x 0 = -4x2 + 8 – 3x a = -4, b = -3, c = 8 or

7. Example 1c 2x2 – 6x = -3 2x2 – 6x + 3 = 0 a = 2, b = -6, c = 3

8. Example 2 After watching a home-improvement show, the Wilkersons decided to build a patio along two sides of their home. Find the width of the patio if there is enough material to cover a surface area of 650 square feet. Nonsense

9. Example 4a

10. Example 4b

11. Example 4c

12. Example 4d

13. Homework Packet section 5.5

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