\(6x^4-7x^2+1=0\\ \Leftrightarrow6x^4-6x^2-x^2+1=0\\ \Leftrightarrow6x^2\left(x^2-1\right)-\left(x^2-1\right)=0\\ \Leftrightarrow\left(x-1\right)\left(x+1\right)\left(6x^2-1\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=1\\x=-1\\x=\dfrac{\sqrt{6}}{6}\end{matrix}\right.\)
7) 6x4-7x2+1=0
=>6x4-6x2-1x2+1=0
=>(6x4-6x2)-(1x2-1)=0
=>6x2(x2-1)-1.(x2-1)=0
=>(6x2-1).(x2-1)=0
=>(6x2-1)(x-1)(x+1)=0
=>(6x2-1)=0
=>x-1=0
=>x+1=0
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