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If x2 - 25x - 1= 0 and x > 1, then the value of x3 - \(\frac{1}{x^3}\) will be: |
15625 15700 15678 14533 |
15700 |
If x2 - 25x - 1= 0 Divide by x on both sides, x - \(\frac{1}{x}\) = 25 x3 - \(\frac{1}{x^3}\) = 253 + 3 × 25 = 15700
Note - if x - \(\frac{1}{x}\) = a then x3 - \(\frac{1}{x^3}\) = a3 + 3a |
