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anonymous
 5 years ago
its says solve the euation allgebraically. Check for extraneous solutions. The equation is 2  3/x+4 = 12/x^2+4x
anonymous
 5 years ago
its says solve the euation allgebraically. Check for extraneous solutions. The equation is 2  3/x+4 = 12/x^2+4x

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Ok, so we want to remove the denominators here, and convert this into something we can nicely solve algebraically. The best way to do this is to multiply by a common denominator, a term which has all of the individual denominators as terms. In this case, that would be (x^2+4x), which can also be written x(x+4). If we multiply each term by x(x+4) we get: 2x(x+4)  3x=12 2x^2 + 8x 3x 12 =0 2x^2 + 5x 12 =0 Now factor the result. (2x3)(x+4)=0 x COULD be 3/2 and/or 4. We need to check as there could be extraneous roots. We try substituting x=3/2 and x=4 in to the original equation. For x=4, we see how the result gives us something which does not exist, a number over 0. x=3/2 makes both sides of the equation true, so it is a correct answer.
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