Practicing Success
If $y+\frac{1}{y}= 11$, then the value of $y^3-\frac{1}{y^3}$ is: |
$345\sqrt{13}$ $360\sqrt{13}$ $352\sqrt{13}$ $368\sqrt{13}$ |
$360\sqrt{13}$ |
If $y+\frac{1}{y}= 11$ then $y+\frac{1}{y}$ = \(\sqrt {11^2 - 4}\) = $y+\frac{1}{y}$ = 3\(\sqrt {13}\) $y^3-\frac{1}{y^3}$ = (3\(\sqrt {13}\))3 + 3 × 3\(\sqrt {13}\) = $y^3-\frac{1}{y^3}$ = $360\sqrt{13}$ |