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anonymous
 one year ago
Solve for x: 5 over quantity x squared minus 4 plus 2 over x equals 2 over quantity x minus 2.
x = 8
x = –4
x = 8 and x = –4
No Solution
anonymous
 one year ago
Solve for x: 5 over quantity x squared minus 4 plus 2 over x equals 2 over quantity x minus 2. x = 8 x = –4 x = 8 and x = –4 No Solution

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[x: \frac{ 5}{ x^2  4 } + \frac{ 2 }{ x } = \frac{ 2 }{ x  2 }\]

sweetburger
 one year ago
Best ResponseYou've already chosen the best response.0get each of the denominators the same so you can add and subtract them together

Ciarán95
 one year ago
Best ResponseYou've already chosen the best response.1I'm not sure about this one...the first thing I did was to notice that we can factorise x^4 into (x+2)(x2)  the difference of two squares. So, the equation becomes: \[\frac{ 5 }{ (x+2)(x2) } + \frac{ 2 }{ x } = \frac{ 2 }{ x2 }\] Now, multiplying across by (x2) leaves us with: \[\frac{ 5 }{ x2 } +\frac{ 2(x2) }{ x } = 2\] We can then form the lefthand side as one fraction by using the lowest common denominator of the two fractions, (x2)(x): \[\frac{ 5x + 2(x2)(x+2) }{x(x2) } = 2\] After quite a tricky rearrangement process to leave us with x on its own (all the x^2 terms will cancel out), you should be able to obtain one of the possible answers given in the question. Hope that helps! :)

sweetburger
 one year ago
Best ResponseYou've already chosen the best response.0Looks good @Ciarán95
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