[tex]-2x^2+6x-\frac{9}{2} < 0|*2\\-4x^2+12x-9 < 0\\\Delta=144-4*(-4)*(-9)=0\\x_0=\frac{-b}{2a}=\frac{-12}{-8}=\frac{3}{2}\\x\in(-\infty;\frac{3}{2})\cup(\frac{3}{2};\infty)[/tex]
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[tex]-2x^2+6x-\frac{9}{2} < 0|*2\\-4x^2+12x-9 < 0\\\Delta=144-4*(-4)*(-9)=0\\x_0=\frac{-b}{2a}=\frac{-12}{-8}=\frac{3}{2}\\x\in(-\infty;\frac{3}{2})\cup(\frac{3}{2};\infty)[/tex]