Question

3 square root 2upon3 x-1 is equal to 27 upon 8

Answer 1

Step-by-step explanation:

$\frac{3 \sqrt{2} }{3x - 1} = \frac{27}{8} \\ \bold{by \: cross \: multiplication} \\ 24 \sqrt{2} = 27(3x - 1) \\ 24 \sqrt{2} = 81x - 27 \\ 81x - 27 = 24 \sqrt{2} \\ 81x = 24 \sqrt{2} + 27 \\ x = \frac{24 \sqrt{2} + 27 }{81} \\ x = \frac{3(8 \sqrt{2} + 9)}{81} \\ x = \frac{ 8 \sqrt{2} + 9}{27}$

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