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Bingel [31]
3 years ago
10

Find the extraneous solution of the equation |x−8|=3x.

Mathematics
2 answers:
____ [38]3 years ago
7 0

Answer:

x=2

Step-by-step explanation:

1.|x-8|=3x

2. |x-8|-3x=0

3. x-8-3x=0 , -(x-8)-3x=0

4. x=-4 , x=2

5. x=all real numbers , x=2

kati45 [8]3 years ago
6 0

Answer:

x=-4 is the extraneous solution

Step-by-step explanation:

|x−8|=3x

Lets make two equations for absolute functions. one with positive 3x and another with negative 3x

x-8=3x

Add 8 on both sides

x=3x+8

Subtract 3x from both sides

-2x=+8, divide both sides by -2

x=-4

x-8=-3x

Add 8 on both sides

x=3x+8

Add 3x from both sides

4x=+8, divide both sides by 4

x=2

Now we check with each solution

When x=-4, |-4−8|=3(-4)

12=-12, False . So x=-4 is not a solution

When x=2, |2−8|=3(2)

6=6, True . So x=2 is a solution

x=-4 is the extraneous solution

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Answer:

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Step-by-step explanation:

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x^2+3x+8

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3 years ago
What are the dimensions of the matrix?
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4 years ago
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Dmitry_Shevchenko [17]

Answer:

Step-by-step explanation:

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AND

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3 years ago
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3) sometimes not easy to decide the axis window of y and x axis. For example if the solution is very large like x = 100000 and your graph ends at x = 100, you cannot see the solution

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Step-by-step explanation:

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