Question

1uponx+4-1uponx-7=11upon30

Answer 1

$\: \: \: \: \: \: \: \frac{1}{x + 4} + \frac{1}{x - 7} = \frac{11}{30} \\ = > \frac{(x - 7) + (x + 4)}{ {x}^{2} - 3x - 28 } = \frac{11}{30} \\ = >30(2x - 3) = 11( {x}^{2} - 3x - 28) \\ = > 60x - 90 = 11 {x}^{2} -33x - 308 \\ = > 11 {x}^{2} - 9 3 x - 218 = 0 \\ = > 2293 + \frac{ - \sqrt{18241} }{22} \: and \: \: also \: 2293 + \frac{ \sqrt{18241} }{22}.$






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