Step-by-step explanation:6x² - 5x + 4 = 0[tex] x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex][tex]\tt x = \frac{ - ( - 5 ) \pm\sqrt{ ({ - 5}^{2}) - 4(6)(4) } }{2(6)}[/tex][tex]\tt x = \frac{ - ( - 5 ) \pm \sqrt{ 25 - 4(24) } }{12}[/tex][tex]x = \frac{ 5 \pm \sqrt{25-96}}{12}[/tex][tex]x = \frac{ 5 \pm \sqrt{ - 71}}{12}[/tex][tex]x \tiny = \frac{5 \pm i \sqrt{71} }{12} [/tex]