SOLUTION: I make my fractions like this: ??/?? with the slash in the middle and all on one line. Solve the equation.Can you help me with these 2 problems? -3/x=x/3 I do not no how to s

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Question 227388: I make my fractions like this: ??/?? with the slash in the middle and all on one line. Solve the equation.Can you help me with these 2 problems?
-3/x=x/3
I do not no how to solve these correctly. Can someone please show me how to do these correctly??? I really need to pass this course, and I need all the help I can, so it would be much appreciated!!! Thanks!!
2/x-3 + 3/3-x

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
%28-3%29%2Fx = x%2F3
The common denominator would be 3x, multiply both sides by 3x
(With single fractions on each side, you can cross multiply and do the same thing)
3x*%28-3%29%2Fx = 3x*x%2F3
cancel the denominators
3(-3) = x*x
-9 = x^2
x = sqrt%28-9%29
x = sqrt%28-1%2A9%29
square root of a negative presents a problem, we have to use i, the square root of -1
x = i*sqrt%289%29
x = 3i
:
:
2%2F%28%28x-3%29%29 + 3%2F%28%283-x%29%29
This is not an equation, we can only combine it into a single fraction
To add we have to have a common denominator, we can make this by multiplying
the 2nd denominator by -1, this changes the signs inside the brackets
2%2F%28x-3%29 + 3%2F-1%28x-3%29
divide the -1 into 3 and we have;
2%2F%28x-3%29 + %28-3%29%2F%28x-3%29 = %282-3%29%2F%28x-3%29 = %28-1%29%2F%28x-3%29 = -1%2F%28x-3%29