Question
If $a$ and $b$ are the roots of the equation $x^{2}-7 x-1=0$, then the value of $\frac{a^{21}+b^{21}+a^{17}+b^{17}}{a^{19}+b^{19}}$ is equal to _____________.
Correct Answer
51
If $a$ and $b$ are the roots of the equation $x^{2}-7 x-1=0$, then the value of $\frac{a^{21}+b^{21}+a^{17}+b^{17}}{a^{19}+b^{19}}$ is equal to _____________.