Solving Quadratic Equations: Completing the Square (Continued) Answers

What error did Penelope make in her work?

–5/2–11/2✔ 5/211/2

Solve the quadratic function by completing the square. What are the missing pieces in the steps? –32 = 2(x2 + 10x) –32 + = 2(x2 + 10x + 25) 18 = 2(x + 5)2 9 = (x + 5)2 ± = x + 5 x = –2 or x =

✔ Add 4Add 16Subtract 4Subtract 16

✔ –2–125

Which are steps that could be used to solve 0 = 9(x2 + 6x) – 18 by completing the square? Check all that apply.18 + 81 = 9(x2 + 6x + 9)18 + 9 = 9(x2 + 6x + 9)18 + 36 = 9(x2 + 6x + 36)11 = (x + 3)2 = (x + 6)2 = (x + 3)2

Complete the steps in solving the quadratic function 7x – 9 = 7x2 – 49x by completing the square. –9 = 7x2 – x –9 + = 7(x2 – 8x + )

Which are steps in the process of completing the square used to solve the equation 3 – 4x = 5x2 – 14x? Check all that apply.3 = 5(x2 + 2x)3 = 5x2 – 10x4 = 5(x2 – 2x + 1)8 = 5(x2 – 2x + 1)3 = 5(x – 1)24 = 5(x – 1)2 = (x – 1)2

What are the zeros of the quadratic function f(x) = 6x2 – 24x + 1?

Andy is solving a quadratic equation using completing the square. If a step in the process results in = (x – 6)2, could the original quadratic equation be solved by factoring? Explain your reasoning.

add 4 to 5 add 24 to 5 subtract 4 from 5 ✔ subtract 24 from 5

Subtract 25/2Add 25/2Subtract 25/4✔ Add 25/4

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What did you include in your response? Check all that apply.

–2–1 1✔ 2

✔ subtract 25/2add 25/2subtract 25/4add 25/4

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