Question

SOLVE : 75/8x + 75/8(x-10) = 1

Answer 1

Answer:

75/8(1/x + 1/x-10 ) = 1

$\frac{75}{8} ( \frac{2x - 10}{x(x - 10)} ) = 1$

$\frac{2x - 10}{x(x - 10)} = \frac{8}{75} \\ 150x - 750 = 8 {x}^{2} - 80x \\ 4 {x}^{2} - 115x + 375 = 0 \\ 4 {x}^{2} - 100x - 15x + 375 = 0 \\ 4x(x - 25) - 15(x - 25) = 0 \\ x = \frac{15}{4} \: \: \: \: and \: \: \: \: x = 25$

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