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$(2x^2+1)/(x^2-1)-(x^2-3)/(x^2+1)=(2-x^2)/((x+1)(x-1))+4$ |
di Francesca Ricci
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Equazione di grado superiore al secondo numerica frazionaria
$(2x^2+1)/(x^2-1)-(x^2-3)/(x^2+1)=(2-x^2)/((x+1)(x-1))+4$
$(2x^2+1)/((x+1)(x-1))-(x^2-3)/(x^2+1)-(2-x^2)/((x+1)(x-1))-4=0$
$((2x^2+1)(x^2+1)-(x^2-3)(x+1)(x-1)-(2-x^2)(x^2+1)-4(x+1)(x-1)(x^2+1))/((x+1)(x-1)(x^2+1))=0$
$2x^4+2x^2+x^2+1-x^4+3x^2+x^2-3-2x^2+x^4-2+x^2-4x^4+4=0$
$-2x^4+6x^2=0$
$2x^4-6x^2=0$
$2x^2(x^2-3)=0$
$2x^2=0\Rightarrowx=0vvx=0$
$(x^2-3)=0\Rightarrowx=sqrt(3)vvx=-sqrt(3)$
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