Practicing Success
If x + \(\frac{1}{16x}\) = 3, then 16x3 + \(\frac{1}{256x^3}\) is equals to: |
441 414 423 432 |
423 |
Given, x + \(\frac{1}{16x}\) = 3 multiply by 4 so, 4x + \(\frac{1}{4x}\) = 12 64x3 + \(\frac{1}{64x^3}\) = 1728 - (3 × 12) = 1692 Divide by 4 16x3 + \(\frac{1}{256x^3}\) = \(\frac{1692}{4}\) = 423 |