Solving Quadratic Equations: Completing the Square (Continued)

Question 1

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 2

What are the zeros of the quadratic function f(x) = 2x2 + 16x – 9?

Revolt · Accepted Answer

x = –4 – and x = –4 +

Question 3

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

Revolt · Accepted Answer

x = –2.25

Question 4

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 5

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

Revolt · Accepted Answer

x = –1 – and x = –1 +

Question 6

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 7

Patel is solving 8x2 + 16x + 3 = 0. Which steps could he use to solve the quadratic equation? Select three options.8(x2 + 2x + 1) = –3 + 8x = –1 x = –1 8(x2 + 2x + 1) = 3 + 18(x2 + 2x) = –3

Revolt · Accepted Answer

8(x2 + 2x + 1) = –3 + 8; x = –1; 8(x2 + 2x) = –3

Question 8

Gio is solving the quadratic equation by completing the square.5x2 + 15x – 4 = 0

Revolt · Accepted Answer

Isolate the constant.

Question 9

Lie is solving the quadratic equation by completing the square.3x2 + 18x – 8 = 0 3x2 + 18x = 8

Revolt · Accepted Answer

Factor 3 out of the variable terms.

Question 10

Sunil is solving the quadratic equation by completing the square.6x2 + 24x + 5 = 06x2 + 24x = –5

Revolt · Accepted Answer

Factor 6 out of the variable terms.

Solving Quadratic Equations: Completing the Square (Continued) Answers

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