Answer:[tex]\frac{7- \sqrt{71}i }{10}[/tex][tex]\frac{7+ \sqrt{71}i }{10}[/tex]Step-by-step explanation:[tex]5x^{2} - 7x + 6= 0[/tex]By quadratic formula,Given in this question a = 5, b = -7 c = 6x can be [tex]\frac{-b + \sqrt{b^{2} - 4ac } }{2a}[/tex][tex]\frac{-b - \sqrt{b^{2} - 4ac } }{2a}[/tex]Putting these values in the formula we get,[tex]x1 = \frac{7+ \sqrt{49 - 120} }{10}[/tex][tex]x2 = \frac{7- \sqrt{49 - 120} }{10}[/tex]