Quadratic Formula.

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Presentation transcript:

Quadratic Formula

Learning Intention/Success Criteria LI: We are learning to factor quadratics with the quadratic formula SC: I can -simplify square roots -memorize the quadratic formula -locate solutions by using the quadratic formula -use integer operations -substitute values into an equation

Example 1: Solve for the roots: 2x2 + 3x – 9 = 0 A: B: C: 2 3 -9

(-3, 0) Roots:

Guided Practice 1 Use the quadratic formula to solve the equation: 2x2 – 11x + 12 = 0 Roots: (4, 0) (1.5, 0)

Guided Practice 2 Use the quadratic formula to solve the equation: x2 – 4x + 3 = 0 Roots: (3, 0) (1, 0)

Example 2: Solve for the roots: x2 + 8x – 1 = 0 A: B: C: 1 8 -1

Roots: (0.12, 0) (-8.12, 0)

Guided Practice 3 Use the quadratic formula to solve the equation: 5x2 – x – 2 = 0 Roots: (0.74, 0) (-0.54, 0)

Guided Practice 4 Use the quadratic formula to solve the equation: 2x2 – 3x – 6 = 0 Roots: (2.64, 0) (-1.13, 0)