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]