Question

C) 6x²-4x-2=0

D) 6x²-2x-4=0

Answer 1

C) 6x²-4x-2=0
a = 6
b = -4
c = -2

Δ = b² - 4 * a * c
Δ = 16 - 4 * 6 *-2
Δ = 16 + 48
Δ = 64

(-b +- √Δ) / 2a

(4 +- √64) / 12
(4 +- 8) / 12

x' = (4 + 8) / 12
x' = 12/12
x' = 1

x'' = (4-8) / 12
x'' = -4/12
x'' =  -1/3

D) 6x²-2x-4=0
a = 6
b = -2
c = -4

Δ = b² - 4 * a * c
Δ = 4 - 4 * 6 *-4
Δ = 4 + 96
Δ = 100

(-b +- √Δ) / 2a

(2 +- √100) / 12
(2 +- 10) / 12

x' = (2 + 10) / 12
x' = 12/12
x' = 1

x'' = (2-10) / 12
x'' = -8/12
x'' =  -2/3