Question

9x elevado a 2 -12x-1=0

Answer 1

9x² - 12x - 1 = 0 ⇒⇒ a = 9 b = -12 c = -1

Δ = b² - 4.a.c
Δ = ( -12) ² - 4.(9).(-1)
Δ = 144 + 36
Δ = 180 
⇒⇒⇒√180 = 6.√5

x ' = $\frac{- b + \sqrt{delta} }{2a}$

x' = $\frac{12 + 6 \sqrt{5} }{18}$ simplifica por 6

x' = $\frac{2 + \sqrt{5} }{3}$

x'' = $\frac{2 - \sqrt{5} }{3}$

Bons estudos!

Answer 2

Olá Tácio!

9x² - 12x - 1 = 0

A= 9

B= - 12

C= - 1

∆= b² - 4ac

∆= ( - 12)² - 4 • 9 • ( - 1)

∆= 144 + 36

∆= 180

x= - b ± √∆ / 2a

x= - ( - 12) ± √180 / 2 • 9

x'= 12 + √180 / 18

x''= 12 - √180 / 18