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Find all values of x such that 6=35/x - 49/(x^2). If you find more than one value, then list your solutions in increasing order, separated by commas.

 Sep 4, 2019
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\(6 = \dfrac{35}{x} - \dfrac{49}{x^2}\\ 6x^2 = 35x - 49\\ 6x^2 - 35x +49 = 0\\~\\ x = \dfrac{35\pm \sqrt{35^2 - (4)(6)(49)}}{12} = \left\{\dfrac 7 3, \dfrac 7 2\right\} \)

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 Sep 4, 2019

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