Mathematics, 21.01.2021 22:30 seby77L
Solve the equation (3x2)(3x4)=36
Answers: 2
![x=\sqrt[3]{2},\:x=-\sqrt[3]{2}](/tpl/images/1053/7831/5b6d6.png)
, 
![\mathrm{For\:}x^n=f\left(a\right)\mathrm{,\:n\:is\:even,\:the\:solutions\:are\:}x=\sqrt[n]{f\left(a\right)},\:-\sqrt[n]{f\left(a\right)}](/tpl/images/1053/7831/33158.png)
![x=\sqrt[6]{4},\:x=-\sqrt[6]{4}](/tpl/images/1053/7831/ef7aa.png)
![x=\sqrt[6]{4}](/tpl/images/1053/7831/0852c.png)
![=\sqrt[6]{2^2}](/tpl/images/1053/7831/7ba39.png)
![=\sqrt[6]{2^2}=2^{2\cdot \frac{1}{6}}](/tpl/images/1053/7831/87e82.png)
![=\sqrt[3]{2}](/tpl/images/1053/7831/4e102.png)
![x=\sqrt[3]{2}](/tpl/images/1053/7831/ad46d.png)
(or ![x=-\sqrt[6]{4}](/tpl/images/1053/7831/56bdb.png)
![x=-\sqrt[3]{2}](/tpl/images/1053/7831/47cbb.png)
or (![3 {x}^{2} \times 3 {x}^{4} = 36 \\ 9 {x}^{6} = 36 \\ {x}^{6} = 4 \\ \boxed{x = \sqrt[6]{4} }](/tpl/images/1053/7831/2953f.png)
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