Question

Solve for x: [16/x] - 1 = 15/(x+1)

Answer 1

ANSWER :-

$\frac{16}{x} - 1 = \frac{15}{x + 1} \\ \frac{16 - x}{x} = \frac{15}{x + 1} \\ (16 - x)(x + 1) = 15x \\ 16x - {x}^{2} + 16 - x = 15x \\ 15x - {x}^{2} + 16 = 15x \\ - {x}^{2} + 16 = 15x - 15x \\ - {x}^{2} + 16 = 0 \\ - {x}^{2} = - 16 \\ {x}^{2} = 16$

$x=+/- \: \sqrt{16}$

=>x=+/- 4 units

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