Unknown number 7

Calculate an unknown number whose 12th power, when divided by the 9th power, gets a number 27 times greater than the unknown number. Determine the unknown number.

Correct answer:

x₁ =  5.1962
x₂ =  -5.1962

Step-by-step explanation:

$$\begin{gathered} x^{12}/x^9=27x \\ {x}^3=27x \\ {x}^2=27 \\ {x}_1=\sqrt{27}=3\sqrt{3}=5.1962 \end{gathered}$$

$x_2=-\sqrt{27}=-3\sqrt{3}=-5.1962$

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