Question

решите уравнение $6-frac{x-1}{2}= frac{3-x}{2}+ frac{ x^{2}-1 }{3}$

Answer 1

$6-frac{x-1}{2}- frac{3-x}{2}- frac{ x^{2} -1}{3}=0 \ frac{36-3(x-1)-3(3-x)-2( x^{2} -1)}{6}=0 \ 36-3x+3-9+3x-2 x^{2} +2=0 \ -2 x^{2} +32=0 \ -2 x^{2} =-32 \ 2 x^{2} =32 \ x^{2} =16 x^{2} \ x_{1}=4 \ x_{2}=-4$