MATH
posted by Shay .
solve 1(2/x)=2/(x+2)
Express your answer in simplest radical form.
What is radical form ne how?
1(2/x)=2/(x+2)
Multiply both sides by x(x+2):
x(x+2)  2(x+2) = 2x
Note that we cannot allow x to be 0 or minus two because for these values the original equation is not defined. The left hand side is:
x(x+2)  2(x+2).
Factor out the term (x + 2):
x(x+2)  2(x+2) = (x2)(x+2) = x^2  4
If you now bring the term 2x from the right hand side to the left you get the equation:
x^2  2x  4 = 0 >
x = 1 +/ sqrt[5]
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