# 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:

Checkout calculation with our calculator of quadratic equations.

${x}_{2}={a}_{2}^{2}+1\mathrm{/}{a}_{2}^{2}=0.38{2}^{2}+1\mathrm{/}0.38{2}^{2}=7$
${y}_{1}={a}_{1}^{3}+1\mathrm{/}{a}_{1}^{3}=2.61{8}^{3}+1\mathrm{/}2.61{8}^{3}=18$
${y}_{2}={a}_{2}^{3}+1\mathrm{/}{a}_{2}^{3}=0.38{2}^{3}+1\mathrm{/}0.38{2}^{3}=18$

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