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Section 2.9 : Equations Reducible to Quadratic in Form

Solve each of the following equations.

  1. \({x^6} - 9{x^3} + 8 = 0\) Solution
  2. \({x^{ - 4}} - 7{x^{ - 2}} - 18 = 0\) Solution
  3. \(4{x^{\frac{2}{3}}} + 21{x^{\frac{1}{3}}} + 27 = 0\) Solution
  4. \({x^{10}} - 6{x^5} + 7 = 0\) Solution
  5. \(\displaystyle \frac{2}{{{x^2}}} + \frac{{17}}{x} + 21 = 0\) Solution
  6. \(\displaystyle \frac{1}{x} - \frac{{11}}{{\sqrt x }} + 18 = 0\) Solution