state gov APSSB CHSL Mock Test 2024 Quantitative Aptitude Algebra Identities

If 8x2 + 9x + 8 = 0, then the value of \(x^{3}+\frac{1}{x^{3}}\) is:

1
\(\frac{999}{212}\)
2
\(\frac{199}{212}\)
3
\(\frac{999}{512}\)
4
\(\frac{199}{512}\)
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