1.  Radical Equations Quadratic Formula

2. Remember: 1. Simplify x 2 – x = 6 is therefore a 2 nd degree equation Aim: Use the quadratic formula in order to solve for a missing variable. 2. Solve by factoring x 2 – x = 6 3. What is the highest exponent of x 2 – x = 6? x 2 – x – 6 = 0 (x – 3)(x + 2) = 0 0 = 3 = x x = -2 2

3. Quadratic Equation Aim: Use the quadratic formula in order to solve for a missing variable.

4. The Quadratic Formula  Solve for x: x 2 - 8x – 3 = 0 (x + ) (x - ) = 0? ? No need to fear!  Factoring has failed us  will save the day  Place the quadratic equation in standard form so you can identify a, b, c: ax 2 +bx +c = 0 Now substitute the values into the quadratic formula: Aim: Use the quadratic formula in order to solve for a missing variable.

5. Solve for x: x 2 – 8x – 3 = 0 a = 1b = - 8 c = -3 Identify a, b, c. Substitute values into quadratic formula. Simplify the radical. Simplify the fraction. You have 2 answers! Aim: Use the quadratic formula in order to solve for a missing variable.

6. Graph x 2 – 8x – 3 = 0 What does y equal when we’re on the x-axis? Look at where the parabola crosses over the x-axis … We need to punch in y = x 2 – 8x – 3. Xx = -0.35 Xx = 8.4 Aim: Use the quadratic formula in order to solve for a missing variable.

7. Try Solve for the missing variable: 2. x 2 + 2x – 63 = 0 1. 3x 2 – 10x + 5 = 0 Aim: Use the quadratic formula in order to solve for a missing variable.