AnswersAL-Algebra I with Probability Critical StandardsCompleting the Square

Solving Quadratic Equations: Completing the Square Answers

9 verified answers
1
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Complete each statement in the steps to solve x2 – 6x – 7 = 0 using the process of completing the square.

Answers:
Isolate the constant by both sides of the equation.:adding 7 to
Add to both sides of x2 – 6x = 7 to form a perfect square trinomial while keeping the equation balanced.:9
Write the trinomial x2 – 6x + 9 as squared.:x – 3
2
Free Preview

Complete each statement in the steps to solve x2 – 6x – 7 = 0 using the process of completing the square.

Answers:
Isolate the constant by both sides of the equation.:adding 7 to
Add to both sides of x2 – 6x = 7 to form a perfect square trinomial while keeping the equation balanced.:9
Write the trinomial x2 – 6x + 9 as squared.:x – 3
3

6X 7✔ 9

A
6
B
X 7
C
✔ 9
4

✔ x – 3x + 3x – 6

A
✔ x – 3
B
x + 3
C
x – 6
5

Question text not available

Answer not available
6

⇒ 9/4

Answer:

9/4

7

Which is a solution of x2 – x – StartFraction 3 Over 4 EndFraction = 0?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
8

Which describes the solutions of the equation?

A
Since –2 and 3 are both rational, the sum and difference are rational.
Option A
B
Since –2 and are both rational, the sum and difference are rational.
Option B
C
Since –2 is rational and is irrational, the sum and difference are irrational.
Option C
D
Since [image 1] is rational and [image 2] is irrational, the sum and difference are irrational.
Option D
9

Which are solutions of x2 + 5x = 2? Check all that apply.

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
E
Option
Option E

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