Unknown number

I think number. If subtract from the twelfth square the ninth square I get a number 27 times greater than the intended number. What is this unknown number?

Correct answer:

n₁ =  0
n₂ =  1.4053

Step-by-step explanation:

$$\begin{gathered} n^{12}-n^9=27n \\ n(n^{11}-n^8-27)=0 \\ {n}_1=0=0 \end{gathered}$$

$n_2=1.40529=1.4053$

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