Respuesta :

Answer:

[tex]x =\frac{17}{18} +\frac{1}{18} \sqrt{3349}[/tex] OR [tex]x =\frac{17}{18} +\frac{-1}{18} \sqrt{3349}[/tex]

Step-by-step explanation:

9x2−17x−85=0

For this equation: a=9, b=-17, c=-85

9x2+−17x+−85=0

Step 1: Use quadratic formula with a=9, b=-17, c=-85.

[tex]x =\frac{-b + \sqrt{b^{2}-4ac } }{2a}[/tex]

[tex]x =\frac{-(-17)+\sqrt{(-17)^{2} -4(9)(-85)} }{2(9)}[/tex]

[tex]x =\frac{17}{18} +\frac{-1}{18} \sqrt{3349}[/tex]