1.

If \(\frac{{8x}}{{2{x^2}\; + \;7x - 2}} = 1,x > 0,\) then what is the value of \({x^3} + \frac{1}{{{x^3}}}\)?

A. \(\frac{3}{8}\sqrt {17}\)
B. \(\frac{3}{4}\sqrt {17}\)
C. \(\frac{5}{8}\sqrt {17}\)
D. \(\frac{5}{4}\sqrt {17} \)
Answer» D. \(\frac{5}{4}\sqrt {17} \)


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