Question

please answer
if a^2-4a-1=0 find
●(a+1/a)
●(a-1/a)


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Answer 1

Step-by-step explanation:

$\color{navy}\left. \begin{array} { l } \tt{ \left ( a + \dfrac { 1 } { a } \right) ^ { 2 } = \left( a - \dfrac { 1 } { a } \right ) ^ { 2 } + 4 } \\ \\ \tt { = ( 4 ) ^ { 2 } + 4 } \\ \\ \tt { = 16 + 4 } \\ \\ \tt{ = 20 } \\ \\ \tt { \left( a + \dfrac { 1 } { a } \right ) = 2 \sqrt { 5 } } \end{array} \right.$