Solving Quadratic Equations: Completing the Square (Continued)

Question 1

a =

Revolt · Accepted Answer

3

Question 2

b =

Revolt · Accepted Answer

-5

Question 3

c =

Revolt · Accepted Answer

2

Question 4

Justification of step A:

Revolt · Accepted Answer

common denominator

Question 5

Justification of step B:

Revolt · Accepted Answer

multiplication property of equality

Question 6

The x-component of the vertex is .

Revolt · Accepted Answer

2

Question 7

Substitute the values for a, b, and c into b2 – 4ac to determine the discriminant. Which quadratic equations will have two real number solutions? (The related quadratic function will have two x-intercepts.) Check all that apply. 0 = 2x2 – 7x – 90 = x2 – 4x + 40 = 4x2 – 3x – 10 = x2 – 2x – 80 = 3x2 + 5x + 3

Revolt · Accepted Answer

0 = 2x2 – 7x – 9; 0 = 4x2 – 3x – 1; 0 = x2 – 2x – 8

Question 8

The y-component of the vertex is .

Revolt · Accepted Answer

–18

Question 9

The discriminant is b2 – 4ac = (–8)2 – (4)(2)(–10) = .

Revolt · Accepted Answer

144

Solving Quadratic Equations: Completing the Square (Continued) Answers

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