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Advantages and Disadvantages of the 4 Methods of Solving Quadratic Equations

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## Advantages and Disadvantages of the 4 Methods of Solving Quadratic Equations

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**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**x2 + 5x + 6 = 0 (x + 2)(x + 3) = 0 x + 2 = 0 or x + 3 = 0 x = -2 or x = -3**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**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**The Quadratic Formula**For ax2 + bx + c = 0, the value of x is given by: Solve: 3x2 + 2x + 1 = 0**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.