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