I can't seem to solve this equation properly.

Find all values of a that satisfy the equation a/3 + 1 = a + 3/a + 3.

sandwich Apr 22, 2023

#1**+1 **

Let a/3=b

Now, we have b+1=3b+1/b+3 ==> 2b+2+1/b=0

Multiplying both sides by b, 2b^2+2b+1=0

Using the quadratic formula, the roots are -0.5 + 0.5i and -0.5 - 0.5i.

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RonnieChen Apr 23, 2023