If $ 1 + x^2 + x^4 = 585$ and $ 1 - x + x^2 = 65$, then find the value of $ 1 + x + x^2$.

8 7 6 9

9

If $ 1 + x^2 + x^4 = 585$ $ 1 - x + x^2 = 65$, then find the value of $ 1 + x + x^2$ We know that, x4 + x2y2 + y4 = (x2 – xy + y2) (x2 + xy + y2) So, $ 1 + x + x^2$ = \(\frac{585}{65}\) = 9