![image](https://tex.z-dn.net/?f=16x%5E2-24x%2B9%3E0%5C%5C%5C%5CD%2F4%3D12%5E2-16%5Ccdot+9%3D0%5C%5C%5C%5C%284x-3%29%5E2%3E0%5C%5C%5C%5C%284x-3%29%5E2%3D0%5C%3B+%5C%3B+pri+%5C%3B+%5C%3B+x%3D%5Cfrac%7B3%7D%7B4%7D%5C%5C%5C%5C%2B+%2B+%2B+%2B+%2B+%2B+%5C%3B+%28%5Cfrac%7B3%7D%7B4%7D%29%5C%3B+%2B+%2B+%2B+%2B+%2B+%2B%5C%5C%5C%5Cx%5Cin+%28-%5Cinfty%2C%5Cfrac%7B3%7D%7B4%7D%29U%28%5Cfrac%7B3%7D%7B4%7D%2C%2B%5Cinfty%29)
0\\\\D/4=12^2-16\cdot 9=0\\\\(4x-3)^2>0\\\\(4x-3)^2=0\; \; pri \; \; x=\frac{3}{4}\\\\+ + + + + + \; (\frac{3}{4})\; + + + + + +\\\\x\in (-\infty,\frac{3}{4})U(\frac{3}{4},+\infty)" alt="16x^2-24x+9>0\\\\D/4=12^2-16\cdot 9=0\\\\(4x-3)^2>0\\\\(4x-3)^2=0\; \; pri \; \; x=\frac{3}{4}\\\\+ + + + + + \; (\frac{3}{4})\; + + + + + +\\\\x\in (-\infty,\frac{3}{4})U(\frac{3}{4},+\infty)" align="absmiddle" class="latex-formula">