# Evaluation of expressions

If a2-3a+1=0, find

(i)a2+1/a2
(ii) a3+1/a3

Correct result:

x1 =  7
x2 =  7
y1 =  18
y2 =  18

#### Solution:

Our quadratic equation calculator calculates it.

$x_{2}=a_{2}^2+1/a_{2}^2=0.382^2+1/0.382^2=7$
$y_{1}=a_{1}^3+1/a_{1}^3=2.618^3+1/2.618^3=18$
$y_{2}=a_{2}^3+1/a_{2}^3=0.382^3+1/0.382^3=18$

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