Question

(Equação de segundo grau)
6x² + x - 1 = 0

Answer 1

Delta= b² -4.a.c
Delta= (1)² - 4.6.(-1)
Delta = 1 + 24
Delta = 25

x = -b ±√Delta / 2.a
x = -(1) ±√25 / 2.6
x = -1 ± 5 / 12

x ¹= -1+5 / 12
x ¹ = 4/12 : 2
x¹ =2/6 :2
x¹ = 1/3

x² = -1-5 / 12
x² = -6/12 : 2
x² = -3/6 : 3
x²= -1/2

Answer 2

6x² + x - 1 = 0
a = 6
b =1
c = -1

Δ = b² -4 .a .c
Δ =  1² -4 . 6 . (-1)
Δ = 1 + 24
Δ =  25 

-b +- √Δ   / 2.a
-1 +- √ 25   / 2.6
-1 +- 5    / 12

x' = -1 + 5   /12
x' = 4 / 12    ÷ 2
x' = 2 / 6      ÷2
x' = 1/3

x" = -1 - 5   /12
x" = -6  /12   ÷2
x" = -3 / 6     ÷3
x" = -1 /2

Resposta: S{ 1/3  e -1/2 }