AnswersTX-Algebra II AAdding and Subtracting Radicals

Adding and Subtracting Radicals Answers

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1
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The following equation is being multiplied by the LCD. Complete the multiplication to eliminate the denominators.The resulting equation is x + 2 – 1 = x – 3X 3x(x + 2) – (x – 2) = x – 3(x – 2)(x + 2) – 1 = (x – 3)(x – 2)✔ (x – 2)(x + 2) – 3x = (x – 2)(x – 3)

Question illustration
A
x + 2 – 1 = x – 3
B
X 3x(x + 2) – (x – 2) = x – 3
C
(x – 2)(x + 2) – 1 = (x – 3)(x – 2)
D
✔ (x – 2)(x + 2) – 3x = (x – 2)(x – 3)
2
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15(a2 – 1) = 5(2a – 2)15(2a – 2) = 5(a2 – 1)15(a2 – 1)(2a – 2) = 5(2a – 2)(a2 – 1)

A
15(a2 – 1) = 5(2a – 2)
B
15(2a – 2) = 5(a2 – 1)
C
15(a2 – 1)(2a – 2) = 5(2a – 2)(a2 – 1)
3

The solutions to 15(2a – 2) = 5(a2 – 1) are:

A
a = 1, a = –1
B
a = 5, a = –1
C
a = 5, a = 1
4

Rewrite as a proportion.Which of these proportions is equivalent to the original equation?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
5

Solve the original equation by solving the proportion. The solutions are

A
–6, –1
B
–6, 1
C
–1, 6
D
1, 6
6

Which of the solutions are extraneous?

A
6
B
1
C
Neither

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Adding and Subtracting Radicals