If $$a^2-3a + 1 = 0, (a
e 0 )$$, then the value of $$a^2 + \dfrac{1}{a^2} $$ is

Question

If $$a^2-3a + 1 = 0, (a
e 0 )$$, then the value of $$a^2 + \dfrac{1}{a^2}  $$ is

Uniteasy Admin · Accepted Answer

$$a^2-3a + 1 = 0$$
Divide both sides by $$a$$, then
$$a + \dfrac{1}{a}  =3$$
Square both sides
$$a^2 + \dfrac{1}{a^2}  +2 = 9$$
Then
$$a^2 + \dfrac{1}{a^2}   = 7$$
Therefore
B is the right choice

Multiple Choice Question (MCQ)

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