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Radical Equations

Radical Equations. Quadratic Formula. Aim: Use the quadratic formula in order to solve for a missing variable. Remember:. Simplify . 2. Solve by factoring x 2 – x = 6 . x 2 – x – 6 = 0. (x – 3)(x + 2) = 0. 0 =. 3 = x. x = -2. 2.

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Radical Equations

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  1. Radical Equations Quadratic Formula

  2. Aim: Use the quadratic formula in order to solve for a missing variable. Remember: • Simplify 2. Solve by factoring x2 – x = 6 x2 – x – 6 = 0 (x – 3)(x + 2) = 0 0 = 3 = x x = -2 2 3. What is the highest exponent of x2 – x = 6? x2 – x = 6 is therefore a 2nddegree equation

  3. Aim: Use the quadratic formula in order to solve for a missing variable. Quadratic Equation You’ve just solved a quadratic equation  When an expression is 2nd degree … you have a quadratic. What if the quadratic cannot be factored?

  4. Aim: Use the quadratic formula in order to solve for a missing variable. The Quadratic Formula • Solve for x: x2 - 8x – 3 = 0 (x + ) (x - ) = 0 ? ? • Factoring has failed us  No need to fear! Quadratic Formula will save the day  • Place the quadratic equation in standard form so you can identify a, b, c: ax2+bx+c = 0 Now substitute the values into the quadratic formula:

  5. Aim: Use the quadratic formula in order to solve for a missing variable. Solve for x: x2 – 8x – 3 = 0 a = 1 b = -8 c = -3 Identify a, b, c. Substitute values into quadratic formula. Simplify the radical. Simplify the fraction. You have 2 answers!

  6. Aim: Use the quadratic formula in order to solve for a missing variable. Graph x2 – 8x – 3 = 0 What does y equal when we’re on the x-axis? We need to punch in y = x2 – 8x – 3. Look at where the parabola crosses over the x-axis … Xx = 8.4 Xx = -0.35

  7. Aim: Use the quadratic formula in order to solve for a missing variable. Try Solve for the missing variable: 2. x2 + 2x – 63 = 0 1. 3x2 – 10x + 5 = 0

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