[tex]2 {x}^{2} - 7x + 6 = 0 \\ a = 2\\ b = - 7 \\ c = 6 \\ D = {b}^{2} - 4ac = ( - 7) {}^{2} - 4 \times 2 \times 6 = 49 - 48 = 1\\ x_{1} = \frac{7 - 1}{2 \times 2} = \frac{6}{4} = 1.5 \\ x_{2} = \frac{7 + 1}{2 \times 2} = \frac{8}{4} = 2[/tex]