![image](https://tex.z-dn.net/?f=6x%5E2-7x%2B2%3E0%5C%5C6x%5E2-7x%2B2%3D0%5C%5CD%3D49-4%5Ccdot6%5Ccdot2%3D49-48%3D1%5C%5Cx_%7B1%2C2%7D%3D%5Cfrac%7B7%5Cpm1%7D%7B12%7D%5C%5Cx_1%3D%5Cfrac12%2C%5C%3Bx_2%3D%5Cfrac23%5C%5C6%28x-%5Cfrac12%29%28x-%5Cfrac23%29%3E0%5C%5Cx%5Cin%28-%5Cinfty%3B%5C%3B%5Cfrac12%29%5Ccup%28%5Cfrac23%3B%5C%3B%2B%5Cinfty%29%5C%5C%5C%5C5x-6%3Cx%2B2%5C%5C5x-x%3C2%2B6%5C%5C4x%3C8%5C%5Cx%3C4%5C%5Cx%5Cin%28-%5Cinfty%3B%5C%3B4%29)
0\\6x^2-7x+2=0\\D=49-4\cdot6\cdot2=49-48=1\\x_{1,2}=\frac{7\pm1}{12}\\x_1=\frac12,\;x_2=\frac23\\6(x-\frac12)(x-\frac23)>0\\x\in(-\infty;\;\frac12)\cup(\frac23;\;+\infty)\\\\5x-60\\6x^2-7x+2=0\\D=49-4\cdot6\cdot2=49-48=1\\x_{1,2}=\frac{7\pm1}{12}\\x_1=\frac12,\;x_2=\frac23\\6(x-\frac12)(x-\frac23)>0\\x\in(-\infty;\;\frac12)\cup(\frac23;\;+\infty)\\\\5x-6