Solve Step by step please

label Mathematics
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x/x-2+1/x-4=2/x^2-6x+8

Oct 17th, 2017

Notice that x^2 -6x + 8 can be written as (x-4)(x-2)

That's COMMON to the denominator of the other 2 fractions, so that's your COMMON DENOMINATOR

Now, if you multiply EVERYTHING by that common denominator you get

x(x-4) + (x-2) = 2   then simplify and solve

x^2 - 4x + x - 2 = 2

x^2 - 3x - 4 = 0

(x - 4)(x+1) = 0

x = 4

x = -1

Feb 23rd, 2015

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