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Trần Đức Huy

15/05/2018 at 08:17
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Solve the following equation: x4-8x2-9 = 0
       who fast tick(ai nhanh tick)


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    Alone 15/05/2018 at 13:53

    \(x^4-8x^2-9=0\Leftrightarrow x^4+x^2-9x^2-9=0\)

    \(\Leftrightarrow x^2\left(x^2+1\right)-9\left(x^2+1\right)=0\)

    \(\Leftrightarrow\left(x^2-9\right)\left(x^2+1\right)=0\Leftrightarrow\left(x-3\right)\left(x+3\right)\left(x^2+1\right)=0\)

    Because \(x^2+1\ne0\) so \(\left[{}\begin{matrix}x-3=0\\x+3=0\end{matrix}\right.\)\(\Leftrightarrow\left[{}\begin{matrix}x=3\\x=-3\end{matrix}\right.\)

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