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6.4 solve quadratic equations by completing the square

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Jessica Garcia
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Solving Quadratic Equations by Completing the Square
Perfect Square Trinomials ,[object Object],[object Object],[object Object],[object Object]
Creating a Perfect Square Trinomial ,[object Object],[object Object],[object Object]
Perfect Square Trinomials ,[object Object],[object Object],[object Object],[object Object],100 4 25/4
Solving Quadratic Equations by Completing the Square ,[object Object],[object Object]
Solving Quadratic Equations by Completing the Square ,[object Object]
Solving Quadratic Equations by Completing the Square Step 3: Factor the perfect square trinomial on the left side of the equation. Simplify the right side of the equation.
Solving Quadratic Equations by Completing the Square ,[object Object]
Solving Quadratic Equations by Completing the Square ,[object Object]
Completing the Square-Example #2 ,[object Object],[object Object]
Solving Quadratic Equations by Completing the Square Step 2: Find the term that completes the square on the left side of the equation. Add that term to both sides. The quadratic coefficient must be equal to 1 before you complete the square, so you must divide all terms by the quadratic coefficient first.
Solving Quadratic Equations by Completing the Square Step 3: Factor the perfect square trinomial on the left side of the equation. Simplify the right side of the equation.
Solving Quadratic Equations by Completing the Square Step 4: Take the square root of each side
Solving Quadratic Equations by Completing the Square Try the following examples. Do your work on your paper and then check your answers.

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6.4 solve quadratic equations by completing the square

  • 1. Solving Quadratic Equations by Completing the Square
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  • 7. Solving Quadratic Equations by Completing the Square Step 3: Factor the perfect square trinomial on the left side of the equation. Simplify the right side of the equation.
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  • 11. Solving Quadratic Equations by Completing the Square Step 2: Find the term that completes the square on the left side of the equation. Add that term to both sides. The quadratic coefficient must be equal to 1 before you complete the square, so you must divide all terms by the quadratic coefficient first.
  • 12. Solving Quadratic Equations by Completing the Square Step 3: Factor the perfect square trinomial on the left side of the equation. Simplify the right side of the equation.
  • 13. Solving Quadratic Equations by Completing the Square Step 4: Take the square root of each side
  • 14. Solving Quadratic Equations by Completing the Square Try the following examples. Do your work on your paper and then check your answers.