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WARM UP

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  1. WARM UP 4 EVALUATING EXPRESSIONS Evaluate the expression for the given value of the variable (Lesson 2.5). -3(x) when x = 9 4(-6)(m) when m = -2 -5(-n)(-n) when n = 2 2(-1)(-x)3 when x = -3

  2. WARM UP 3 EVALUATING EXPRESSIONS Evaluate the expression for the given value of the variable (Lesson 2.5). -3(x) when x = 9 4(-6)(m) when m = -2 -5(-n)(-n) when n = 2 2(-1)(-x)3 when x = -3

  3. WARM UP 2 EVALUATING EXPRESSIONS Evaluate the expression for the given value of the variable (Lesson 2.5). -3(x) when x = 9 4(-6)(m) when m = -2 -5(-n)(-n) when n = 2 2(-1)(-x)3 when x = -3

  4. WARM UP 1 EVALUATING EXPRESSIONS Evaluate the expression for the given value of the variable (Lesson 2.5). -3(x) when x = 9 4(-6)(m) when m = -2 -5(-n)(-n) when n = 2 2(-1)(-x)3 when x = -3

  5. WARM UP 0 EVALUATING EXPRESSIONS Evaluate the expression for the given value of the variable (Lesson 2.5). -3(x) when x = 9 4(-6)(m) when m = -2 -5(-n)(-n) when n = 2 2(-1)(-x)3 when x = -3

  6. 9.6 Solving Quadratic Equations by the Quadratic Formula GOAL Use the quadratic formula to solve a quadratic equation. KEY WORDS Quadratic formula Vertical Motion model

  7. 9.6 Solving Quadratic Equations by the Quadratic Formula The quadratic formula gives the solutions of ax2 + bx + c = 0 in terms of the coefficients a, b and c.

  8. 9.6 Solving Quadratic Equations by the Quadratic Formula The solutions of the quadratic equation ax2 + bx + c = 0 are: x = when a ≠ 0 and b2 – 4ac > 0. THE QUADRATIC FORMULA

  9. EXAMPLE 1 Use the Quadratic Formala Solve x2+ 9x + 14 = 0 SOLUTION x2 + 9x + 14 = 0 Identify a =1, b = 9 and c = 14 x = Substitute values in the quadratic formula. x = Simplify x = Solutions. ANSWER> The two solutions are x = -2 and -7. 9.6 Solving Quadratic Equations by the Quadratic Formula

  10. 9.6 Solving Quadratic Equations by the Quadratic Formula Checkpoint Use the Quadratic Formula. Use the quadratic formula to solve the equation. x2 – 4x + 3 = 0 2x2 + x - 10 = 0 -x2 + 3x + 4 = 0