Question

1
If
2x + = 8,
2x then the value of
8x +
8.ris
536
460
488
368​

Answer 1

Answer:

$2x \: + \: \frac{1}{2x} = 8$

$cubing \: on \: both \: sides$

$(2x \: + \: \frac{1}{2x}) {}^{3} = {8}^{3}$

$(a \: + b) ^{3} = ( {a}^{3} + {b}^{3} + 3ab(a + b))$

$(2x) ^{3} + (\frac{1}{2x}) ^{3} + 3 \times 2x \times \frac{1}{2x} (2x \: + \frac{1}{2x}) = 512$

$8 {x}^{3} + \frac{1}{8 {x}^{3} } + 3(8) \: = 512$

$8 {x}^{3} + \frac{1}{8 {x}^{3} } + 24 \: = 512$

$8 {x}^{3} + \frac{1}{8 {x}^{3} } = 512 - 24$

$8 {x}^{3} + \frac{1}{8 {x}^{3} } =488$

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