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Advantages and Disadvantages of the 4 Methods of Solving Quadratic Equations

Advantages and Disadvantages of the 4 Methods of Solving Quadratic Equations. Outline. Factoring Square Root Property Completing the Square Quadratic Formula Advantages Disadvantages Summary. Factoring. x 2  + 5 x  + 6 = 0 ( x  + 2)( x  + 3) = 0 x + 2 = 0 or x + 3 = 0

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Advantages and Disadvantages of the 4 Methods of Solving Quadratic Equations

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  1. Advantages and Disadvantages of the 4 Methods of Solving Quadratic Equations

  2. Outline • Factoring • Square Root Property • Completing the Square • Quadratic Formula • Advantages • Disadvantages • Summary

  3. Factoring x2 + 5x + 6 = 0 (x + 2)(x + 3) = 0 x + 2 = 0 or x + 3 = 0 x = -2 or x = -3

  4. The Square Root Property 5x2 = 125 x2 = 25 Divide both sides by 5 to isolate x2 x = ± √25 Apply the square root property x = ± 5Simplify

  5. Completing the Square x2 + 6x − 7 = 0 x2 + 6x = 7 Add 7 to both sides x2 + 6x + 9 = 7 + 9 Add (b/2)2 to both sides (x + 3)2 = 16 Factor the left side Use the Square Root Property to complete the solution x + 3 = ±4 x = -7, 1

  6. The Quadratic Formula For ax2 + bx + c = 0, the value of x is given by: Solve: 3x2 + 2x + 1 = 0

  7. Advantages

  8. Disadvantages

  9. Summary • Try factoring first because it is easier. • Completing the Square and the Quadratic Formula can always be used but they are a bit more difficult. • If the equation is in the form (ax + b)2 = c, use the square root property.

  10. Questions?

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