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![\frac{1}{x+6} = \frac{1}{2}\\
2x^2=x+6\\
2x^2-x-6=0\\
D=1+4*2*6=7^2\\
x=\frac{1+7}{4}=2\\
x=\frac{1-7}{4}=\frac{-3}{2}\\
\\
\frac{x^2-x}{x+3}=\frac{12}{x+3}\\
x^2-x-12=0\\
D=1+4*1*12=7^2\\
x=\frac{1+7}{2}=4\\
x=\frac{1-7}{2}=-3\\
\\
\frac{x^2-3x+2}{x^2-1}=0\\
x^2-3x+2=0\\
D=9-4*1*2=1^2\\
x=\frac{3+1}{2}=2\\
x=\frac{3-1}{2}=1\\\
Otvet 1 \\
\\](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%2B6%7D+%3D+%5Cfrac%7B1%7D%7B2%7D%5C%5C%0A2x%5E2%3Dx%2B6%5C%5C%0A2x%5E2-x-6%3D0%5C%5C%0AD%3D1%2B4%2A2%2A6%3D7%5E2%5C%5C%0Ax%3D%5Cfrac%7B1%2B7%7D%7B4%7D%3D2%5C%5C%0Ax%3D%5Cfrac%7B1-7%7D%7B4%7D%3D%5Cfrac%7B-3%7D%7B2%7D%5C%5C%0A%5C%5C%0A%5Cfrac%7Bx%5E2-x%7D%7Bx%2B3%7D%3D%5Cfrac%7B12%7D%7Bx%2B3%7D%5C%5C%0Ax%5E2-x-12%3D0%5C%5C%0AD%3D1%2B4%2A1%2A12%3D7%5E2%5C%5C%0Ax%3D%5Cfrac%7B1%2B7%7D%7B2%7D%3D4%5C%5C%0Ax%3D%5Cfrac%7B1-7%7D%7B2%7D%3D-3%5C%5C%0A%5C%5C%0A%5Cfrac%7Bx%5E2-3x%2B2%7D%7Bx%5E2-1%7D%3D0%5C%5C%0Ax%5E2-3x%2B2%3D0%5C%5C%0AD%3D9-4%2A1%2A2%3D1%5E2%5C%5C%0Ax%3D%5Cfrac%7B3%2B1%7D%7B2%7D%3D2%5C%5C%0Ax%3D%5Cfrac%7B3-1%7D%7B2%7D%3D1%5C%5C%5C%0AOtvet+1+%5C%5C%0A%5C%5C%0A "\frac{1}{x+6} = \frac{1}{2}\\
2x^2=x+6\\
2x^2-x-6=0\\
D=1+4*2*6=7^2\\
x=\frac{1+7}{4}=2\\
x=\frac{1-7}{4}=\frac{-3}{2}\\
\\
\frac{x^2-x}{x+3}=\frac{12}{x+3}\\
x^2-x-12=0\\
D=1+4*1*12=7^2\\
x=\frac{1+7}{2}=4\\
x=\frac{1-7}{2}=-3\\
\\
\frac{x^2-3x+2}{x^2-1}=0\\
x^2-3x+2=0\\
D=9-4*1*2=1^2\\
x=\frac{3+1}{2}=2\\
x=\frac{3-1}{2}=1\\\
Otvet 1 \\
\\")