Question

Let $p,q$ be integers and let $\alpha ,\beta$ be the roots of the equation, $x^2–x–1=0$, where $\alpha \ne \beta$. For $n=0,1,2,...$, let $a_n=p{\alpha }_n+q{\beta }_n$. FACT : If $a$ and $b$ are rational numbers and $a+b\sqrt{5}=0$, then $a=0=b$.

• A. Option d missing
• B. Option b missing
• C. Option a missing
• D. Option c missing

Answer 1

The correct option is C Option a missing

Solution missing