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:

And we have to prove the answer.
So, For this


Then the equation become

Now solve it then

Now take 2 common from answer then equation become

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.
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(5,y)(8,-1)
d = sqrt ((x2 - x1)^2 + (y2 - y1)^2)
d = sqrt ((8 - 5)^2 + (-1 - y)^2)
d = sqrt (3^2 + (-1 - 3)^2
d = sqrt (9 + (-4^2)
d = sqrt (9 + 16)
d = sqrt 25
d = 5
so ur points are : (5,-3)(8,-1)
Answer:
Rewriting the expression
with a rational exponent as a radical expression we get ![\mathbf{\sqrt[9]{3} }](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Csqrt%5B9%5D%7B3%7D%20%7D)
Step-by-step explanation:
We need to rewrite the expression
with a rational exponent as a radical expression.
The expression given is:

First we will simply the expression using exponent rule 

As we know 2 and 18 are both divisible by 2, we can write

Now we know that ![a^\frac{1}{9}=\sqrt[9]{a}](https://tex.z-dn.net/?f=a%5E%5Cfrac%7B1%7D%7B9%7D%3D%5Csqrt%5B9%5D%7Ba%7D)
Using this we get
![=\sqrt[9]{3}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B9%5D%7B3%7D)
So, rewriting the expression
with a rational exponent as a radical expression we get ![\mathbf{\sqrt[9]{3} }](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Csqrt%5B9%5D%7B3%7D%20%7D)