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Katyanochek1 [597]
3 years ago
7

Find the extraneous solution of the equation |9 – 4x|= -5x .

Mathematics
1 answer:
just olya [345]3 years ago
6 0
Answer:
x = 1

Step-by-Step Solution:
Look at attached photo.

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Let:

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\begin{gathered} Vbu=70-ax \\ Vbk=20+ax \\ \text{where:} \\ a=0.05 \\ Vbu=70-0.05x \\ Vbk=20+0.05x \end{gathered}

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\begin{gathered} Vbu=Vbk \\ 70-0.05x=20+0.05x \\ \text{Solve for x:} \\ 0.1x=70-20 \\ 0.1x=50 \\ x=\frac{50}{0.1} \\ x=500 \end{gathered}

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