Respuesta :

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 = 6

x 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]