Solve 4 over x minus 4 equals the quantity of x over x minus 4, minus four thirds for x and determine if the solution is extraneous or not.

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asked Jun 18, 2018 215k views

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Jeff Rosenberg · Answer 1 · 2018-06-22T19:10:00+0000

4 x 4
-------- = ---------- - ---
x - 4 x - 4 3

multiply through by 3(x-4):-

12 = 3x - 4(x-4)

12 = 3x - 4x + 16

--4 = -x

x = 4

What do we get if we substitute 4 for x in the original equation?

Solve 4 over x minus 4 equals the quantity of x over x minus 4, minus four thirds for x and determine if the solution is extraneous or not.

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