Solving Quadratic Equations: Completing the Square (Continued)

Question 1

Which is a zero of the quadratic function f(x) = 16x2 + 32x − 9?

Revolt · Accepted Answer

x = –2.25

Question 2

The first few steps in solving the quadratic equation 9x2 + 49x = 22 − 5x by completing the square are shown.9x2 + 49x = 22 − 5x9x2 + 54x = 229(x2 + 6x) = 22

Revolt · Accepted Answer

9(x2 + 6x + 9) = 103

Question 3

The first few steps in solving the quadratic equation 8x2 + 80x = −5 by completing the square are shown.8x2 + 80x = −58(x2 + 10x) = −58(x2 + 10x + 25) = −5 + ______

Revolt · Accepted Answer

200

Question 4

What are the zeros of the quadratic function f(x) = 6x2 + 12x – 7?

Revolt · Accepted Answer

x = –1 – and x = –1 +

Question 5

Maya is solving the quadratic equation by completing the square.4x2 + 16x + 3 = 0

Revolt · Accepted Answer

Isolate the constant.

Question 6

What are the zeros of the quadratic function f(x) = 8x2 – 16x – 15?

Revolt · Accepted Answer

x = 1 – and x = 1 +

Question 7

Yvonne is solving the quadratic equation 6x2 + 24x + 7 = 0 by completing the square. Her first four steps are shown in the table.

Revolt · Accepted Answer

Step 1

Question 8

Sienna is solving the quadratic equation by completing the square.3x2 + 9x – 4 = 0 3x2 + 9x = 4 A(x2 + 3x) = 4

Revolt · Accepted Answer

3

Question 9

Atraeus is solving the quadratic equation by completing the square.7x2 – 14x + 6 = 0 7x2 – 14x = –6 A(x2 – 2x) = –6

Revolt · Accepted Answer

7

Solving Quadratic Equations: Completing the Square (Continued) Answers

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