Los troyanos- Ecuaciones de segundo Grado

1) x² - 6x - 3 = 0
x² - 6x = 3
x² - 6x + 9 = 3 + 9
(x - 3)² = 12
|x - 3| = √12 = 2√3

x₁ = 3 + 2√3 x₂ = 3 - 2√3

2)    2w²-8 = 0
2w² = 8
w² = 8/2
w² = 4
w = ± √4

w₁ = -2 w₂ = 2

3) √x-3 - 1/2 = x
√x-3 = x + 1/2
(√x-3)² = (x + 1/2)²
x - 3 = x² + x + 1/4
x² + 1/4 + 3 = 0
x² + 13/4 = 0
x² = -13/4
x = ± √-13/4

x₁ = -√13/2 x₂ = √13/2

 4) b2 – 4ac= 0

K2- 4 (36) =0 k2 =144

K= ± sqrt 144   

 k1 =  12     k2= -12

 5) x2  -4x+ 4 =0

X= 4 ± sqrt 16-16/2

= 4/2  =2