# 3.03 Solving Quadratic Equations by Completing the Square.docx

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Name: Tyler Duncan Date: 11/12/2020 School: MCVP Facilitator: 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 = Show your work here: c 49 c
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 = 5 and x = 7 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. x 2 12 x =− 27 12 ÷ 2 = 6 2 = 36 x 2 12 x + 36 = 1 (x-6 x 6 ¿¿ )=1 x+6-6=1-6 x=-5 x-6+6=1+6 x=7 4. n 2 – 2 n – 18 = 6
Solutions: x = 6 and x = -4 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. n 2 2 n 18 + 18 = 6 + 18 n 2 2 n = 24 2 ÷ 2 = 1 2 =1 n 2 2 x + 1 = 25 (x-1)(x-1)=25 ( x 1 ) 2 = 25 (
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