Question

Solve 9x^2- 17x- 85 = 0 Give your solutions correct to 3 significant figures.​

Answer 1

`x =(17)/(18) +(1)/(18) √(3349)` OR
`x =(17)/(18) +(-1)/(18) √(3349)`

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.

`x =\frac{-b + \sqrt{b^(2)-4ac } }{2a}`

`x =\frac{-(-17)+\sqrt{(-17)^(2) -4(9)(-85)} }{2(9)}`

`x =(17)/(18) +(-1)/(18) √(3349)`