Solving Quadratic Equations: Completing the Square (Continued)

Question 1

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 2

Tran is solving the quadratic equation 2x2 – 4x – 3 = 0 by completing the square. His first four steps are shown in the table.

Revolt · Accepted Answer

Step 3

Question 3

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 4

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

Revolt · Accepted Answer

x = –4 – and x = –4 +

Question 5

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

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 8

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

Question 9

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

Revolt · Accepted Answer

x = –2.25

Question 10

Inga is solving 2x2 + 12x – 3 = 0. Which steps could she use to solve the quadratic equation? Select three options.2(x2 + 6x + 9) = 3 + 182(x2 + 6x) = –32(x2 + 6x) = 3x + 3 = 2(x2 + 6x + 9) = –3 + 9

Solving Quadratic Equations: Completing the Square (Continued) Answers

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