Question

x^2-4/3 - 6-x/2 = 3
/ - Это дробь

Answer 1

$frac{ x^{2} -4}{3}- frac{6-x}{2}=3$
$frac{2 x^{2} -8-18+3x}{6}=3$
$2 x^{2} +3x-26=18$
$2 x^{2} +3x-26-18=0$
$2 x^{2} +3x-44=0$
$D=b ^{2}-4ac$
$D=3 ^{2}-4*2*(-44)=9+352=361$
$x_{1}= frac{-b+ sqrt{D} }{2a}$
$x_{1}= frac{-3+ sqrt{361} }{2*2}= frac{-3+19}{4}= frac{16}{4}=4$
$x_{2}= frac{-b- sqrt{D} }{2a}$
$x_{2}= frac{-3-19}{4}= frac{-22}{4}=- frac{11}{2}=-5 frac{1}{2}=-5.5$
Ответ: $x_{1}=4$  ,  $x_{2}=-5.5$