Solve in $R$ the following equation :
$3x^4+x^3-10x^2-x+3=0$
Im try use sub
$y=x+\frac{1}{x}$
But I don't understand whene and where I use this sub
Please give me ideas or hint to approach it
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1Hint: the polynomial factors as a product of two quadratics. – lulu May 17 '19 at 13:25
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2https://math.stackexchange.com/questions/480102/quadratic-substitution-question-applying-substitution-p-x-frac1x-to-2x4x – lab bhattacharjee May 17 '19 at 13:25
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How about $y=x-\frac1x$ – Empy2 May 17 '19 at 13:28
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1Hint: First divide by $x^2$, then use $y=x-\frac1x$, as the coefficients on $x$ and $x^{-1}$ (formerly $x^3$ and $x$) have opposite sign. – Ingix May 17 '19 at 13:28