AnswersFL-1200330-Algebra 2 AThe Quadratic Formula

The Quadratic Formula Answers

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Choose the equation that represents the solutions of 0 = 0.25x2 - 8x.

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
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0 = 5x2 - 2x + 6

A
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Option A
B
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Option B
C
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Option C
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Which of the statements about the following quadratic equation is true? 6x2 - 8 = 4x2 + 7x

A
The discriminant is greater than zero, so there are two real roots.
B
The discriminant is greater than zero, so there are two complex roots.
C
The discriminant is less than zero, so there are two real roots.
D
The discriminant is less than zero, so there are two complex roots.
6

3x = 0.5x2

A
x = -6 or x = 0
B
x = -4 or x = 3
C
x = -2 or x = 1.5
D
x = 0 or x = 6
7

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Answer:

No. The correct values of a, b, and c were substituted in, but the formula was simplified wrong. The 64 should be added so the radicand is 73. There should be 2 real roots.

8

The height h (in feet) of an object t seconds after it is dropped can be modeled by the quadratic equation h = -16t2 + h0, where h0 is the initial height of the object. Suppose a small rock dislodges from a ledge that is 255 ft above a canyon floor. Solve the equation h = -16t2 + 255 for t, using the quadratic formula to determine the time it takes the rock to reach the canyon floor.

A
t 0.87 s
Option A
B
t 4 s
Option B
C
t = 8.5 s
D
t = 16 s
9

y = 12x2 - 9x + 4 real solution(s) 10x + y = -x2 + 2 real solution(s) 4y - 7 = 5x2 - x + 2 + 3y real solution(s) y = (-x + 4)2 real solution(s)

Answers:
Selection 1:no
Selection 2:two
Selection 3:no
Selection 4:one
10

Complete the statements.Graph has one real root. Graph has a negative discriminant. Graph has an equation with coefficientsa = 1, b = 4, c = -2

Answers:
Selection 1:B
Selection 2:A
Selection 3:C
11

Step 1: ax2 + bx + c = 0 Step 2: ax2 + bx = −c Step 3: Step 4: Step 5: Step 6: Step 7: Step 8:

Answers:
Selection 1:B
Selection 2:D
Selection 3:A
Selection 4:C
12

Which of the following did you include in your response? Check all of the boxes that apply.

A
The formula was not simplified correctly.
B
The 64 should have been added.
C
The radicand should be 73.
D
There should be 2 real roots.
13

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14

Graph has a negative discriminant.

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16

Graph has an equation with coefficientsa = 1, b = 4, c = -2

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