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Which of the following represents the solution to the rationalequation

Which Of The Following Represents The Solution To The Rationalequation class=

Sagot :

Answer:

The correct answer is option D. x = 16

Explanation:

We have the equation:

[tex]\frac{2}{x-8}=\frac{4}{x}[/tex]

We can take the reciprocal on both sides:

[tex]\frac{x-8}{2}=\frac{x}{4}[/tex]

Then solve:

[tex]\frac{x}{2}-\frac{8}{2}-\frac{x}{4}=0[/tex][tex]\frac{x}{2}-\frac{x}{4}=4[/tex][tex]\frac{x}{4}=4[/tex][tex]x=4\cdot4=16[/tex]

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