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sergij07 [2.7K]
3 years ago
6

Classify the solutions of 1 over x plus 4, plus one half, equals 1 over x plus 4 as extraneous or non-extraneous.

Mathematics
2 answers:
lara [203]3 years ago
7 0

Answer:

x=-4 , Extraneous

Step-by-step explanation:

Given : Equation - \frac{1}{x+4}+ \frac{1}{2}=\frac{1}{x+4}

To classify : The given equation as extraneous or non-extraneous ?

Solution :  

An extraneous solution is one that we arrive at that will not work in the equation.

For rational equations, extraneous solutions are ones that will cause the denominator to be 0.

So, first we solve the given equation

\frac{1}{x+4}+ \frac{1}{2}=\frac{1}{x+4}

Taking LCM to LHS

\frac{2+x+4}{2(x+4)}=\frac{1}{x+4}

Cancel (x+4) both side,

\frac{x+6}{2}=1

Cross multiply,

x+6=2

x=-4

Now, if we put x=-4 in the equation the denominator is zero.

Therefore, It is an extraneous solution.

katrin2010 [14]3 years ago
3 0

X=-4 ; extraneous is your answer

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Answer:

21870 km^2

Step-by-step explanation:

Area of sector=1/2r^2(theta)

Where r=18 km and theta=135

Area of sector=1/2(18)^2(135)

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=1/2(43740)

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<h3>What is a line of symmetry?</h3>

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3 years ago
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vfiekz [6]
False, keep it up with the questions.
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