I need to use the quadratic formula and the answer needs to be in simplest radical form

Question

9x²-3x-1=0

Answer 1

Coefficients are a = 9, b = -3, c = -1

Quadratic formula is:

 

x = (-b ± √(b² - 4ac))/2a

 

Plug in the values and solve:

 

x = (-(-3) ± √((-3)² - 4(9)(-1))/2(9)

x = (3 ± √(9 + 36))/18

x = (3 ± √45)/18

x = (3 ± √9√5)/18

x = (3 ± 3√5)/18

x = 3(1 ± √5)/18

x = (1 ± √5)/6