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anonymous
 5 years ago
What are the real and extraneous solutions in this equation: (x)/(x+2) + (5)/(x3) = (25)/(x^2x6)
anonymous
 5 years ago
What are the real and extraneous solutions in this equation: (x)/(x+2) + (5)/(x3) = (25)/(x^2x6)

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radar
 5 years ago
Best ResponseYou've already chosen the best response.1Roots are x=5, x=3, the x=3 is an extraneous root.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok thanks. could you show me how you found those answers?

radar
 5 years ago
Best ResponseYou've already chosen the best response.1Yes be glad to. First I did the addition. The common denominator is (x+2)(x3)

radar
 5 years ago
Best ResponseYou've already chosen the best response.1The numerators are then x(x3) +5(x+2) over the common denominator of (x+2)(x3) kind of like this: x(x3) +5(x+2)  =25/(x^2x6) (x+2)(x3) You follow so far?

radar
 5 years ago
Best ResponseYou've already chosen the best response.1Now lets work on the denominator of the fraction on the right side of the equal sign. the denominator is x^2x6 This can be factored to look like (x3)(x+2) Now we have on the right of the equal sign: 25  (x3)(x+2) You still following?

radar
 5 years ago
Best ResponseYou've already chosen the best response.1Now look at both fractions, notice the denominator on the left is also equal to the denominator on the right of our two fractions that are equal. Do you see that?

radar
 5 years ago
Best ResponseYou've already chosen the best response.1well since they are equal, then for the two fractions to be equal, the numerators must be equal,so we now can write: x(x3) + 5(x+2) = 25 Do you follow that kind of reasoning?

radar
 5 years ago
Best ResponseYou've already chosen the best response.1can you take it from there are do you want me walk you thru the solution.?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0no i can take it from here. thank you very much!

radar
 5 years ago
Best ResponseYou've already chosen the best response.1O.K and the root equal 3 is extraneous as it results in a division by zero and as you know that is a nono

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok, so the final equation before you get (x+5)(x3) is x^2+2x15 correct?
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