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grin007 [14]
1 year ago
15

X-1/x-2+x+3/x-4=2/(x-2).(4-x)

Mathematics
1 answer:
Varvara68 [4.7K]1 year ago
3 0

The given equation x-1/x-2+x+3/x-4=2/(x-2).(4-x) is correct. the answer is proved.

According to the statement

we have given that the equation and we have to prove that the given answer is a correct answer for those equivalent equation.

So, The given expression are:

\frac{x-1}{x-2} +\frac{x+3}{x-4} = \frac{2}{(x-2).(4-x)}

And we have to prove the answer.

So, For this

\frac{x-1}{x-2} +\frac{x+3}{x-4}

\frac{({x-1}) ({x-4}) +({x+3})({x-2})} {(x-2) (x-4)}

Then the equation become

\frac{x^{2} -4x -x +4 + x^{2} -2x + 3x -6 }{(x-2) (x-4)}

Now solve it then

2x^{2} - 4x -2 / (x-2) (x-4)

Now take 2 common from answer then equation become

\frac{x-1}{x-2} +\frac{x+3}{x-4} = \frac{2}{(x-2).(4-x)}

Hence proved.

So, The given equation x-1/x-2+x+3/x-4=2/(x-2).(4-x) is correct. the answer is proved.

Learn more about equations here

brainly.com/question/2972832

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