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3.03 Solving Quadratic Equations by Completing the Square.docx

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Name:Nasir BroughtonDate:School:JD Facilitator:Ms.Ross 3.03 Solving Quadratic Equations by Completing the Square Determine the value ofcfor each of the following quadratic expressions.Show your work in the space provided. 1.x2– 14x+c c=49 Show your work here: -14/2=-7(-7)²=49 2.x2+ 16x+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.x2 – 12x+ 27 = 0 Solutions:x=-3andx=-9 Use the table below to show your work. Step 1: Equation to completethe squareStep 2: Show work here tofind the c-value.Step 3: Show work here tofactor: (Don’t forget the signof the binomial) Step 4: Show work for solving for both roots. X²-12x=-27X²-12x+36=912/2=6(6)(6)=36(x-6)²=9(x-6)=3
4.n2– 2n– 18 = 6 Solutions:x=-26andx=24 Use the table below to show your work. Step 1: Equation to completethe squareStep 2: Show work here to
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Unformatted text preview: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. N²-2n=24 N²-2n+1=25-2/2=-1-1²=1(n-1)²=25 n-1=+/-25 5. 9 x 2 - 18x +93 = − 6Solutions:x = 1-i√10 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 solvingfor both roots. 9x²-18x=-99 X²-2x=-11-2/2=-1²=1 X²-2x+1=-10 (X-1)²=-10 x-1=+/-i√10 6. 2m 2+ 5m + 16 = 8 Solutions: 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.