3.03 Solving Quadratic Equations by Completing the Square.docx

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Name: Nasir Broughton Date: School: JD Facilitator: Ms.Ross 3.03 Solving Quadratic Equations by Completing the Square Determine the value of c for each of the following quadratic expressions. Show your work in the space provided. 1. x 2 – 14 x + c c = 49 Show your work here: -14/2=-7 (-7)²=49 2. x 2 + 16 x + c c = Show your work here: 8
16/2 Solve by completing the square. If the solutions are imaginary, write your answer together with the ± sign. 3. x 2 – 12 x + 27 = 0 Solutions: x = -3 and x = -9 Use the table below to show your work. Step 1: Equation to complete the square Step 2: Show work here to find the c-value. Step 3: Show work here to factor: (Don’t forget the sign of the binomial) Step 4: Show work for solving for both roots. X²-12x=-27 X²-12x+36=9 12/2=6 (6)(6)=36 (x-6)²=9 (x-6)=3
4. n 2 – 2 n – 18 = 6 Solutions: x = -26 and x = 24 Use the table below to show your work. Step 1: Equation to complete the square Step 2: Show work here to

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