SOLUTION: Make n the subject. 2n=(1/n) - 4

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Question 1116012: Make n the subject.
2n=(1/n) - 4
Found 2 solutions by josgarithmetic, Shin123:
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
2n=%281%2Fn%29-4
2n-1%2Fn=-4
2n%5E2-1=-4n
2n%5E2%2B4n-1=0

discriminant 16%2B4%2A2%2A1=24


Two 'combined' sentences: n=%28-4-sqrt%2824%29%29%2F4 OR n=%28-4%2Bsqrt%2824%29%29%2F4


system%28%28-4-2%2Asqrt%286%29%29%2F4%2COR%2C%28-4%2B2%2Asqrt%286%29%29%2F4%29


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system%28-1-%281%2F2%29sqrt%286%29%2COR%2C-1%2B%281%2F2%29sqrt%286%29%29
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Answer by Shin123(626) About Me  (Show Source):
You can put this solution on YOUR website!
2n=%281%2Fn%29-4
2n-%281%2Fn%29=-4
2n%5E2-1=-4n
2n%5E2%2B4n-1=0 Use the quadratic formula to solve.
n=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a
n=%28-4%2B-sqrt%284%5E2-4%28-2%29%29%29%2F%282%282%29%29
n=%28-4%2B-sqrt%2816-%28-8%29%29%29%2F4
n=%28-4%2B-sqrt%2824%29%29%2F4
n=%28-4%2B-+2%28sqrt%286%29%29%29%2F4
n=%28-4%2B2%28sqrt%286%29%29%29%2F4 OR n=%28-4-2%28sqrt%286%29%29%29%2F4