Respostas
1) x² - 2x + 1 = 0
a = 1
b = - 2
c = 1
∆ = b² - 4 . a . c
∆ = (-2)² - 4 . 1 . 1
∆ = 4 - 4
∆ = 0
x = - b ± √∆
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2a
x = - (-2) - 0
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2 . 1
x = 2 - 0
-------
2
x = 2
---
2
x = 1
Letra B
2) 2x² + 4x - 6 = 0
a = 2
b = 4
c = - 6
∆ = b² - 4 . a . c
∆ = 4² - 4 . 2 . (-6)
∆ = 16 + 48
∆ = 64
x = - b ± √∆
------------
2a
x' = - 4 - 8
----------
2 . 2
x' = - 12
----
4
x' = - 3
x" = - 4 + 8
----------
2 . 2
x" = 4
---
4
x" = 1
Produto = - 3 . 1 = - 3
Letra D
3) -x² - 4x + 5 = 0
a = - 1
b = - 4
c = 5
∆ = b² - 4 . a . c
∆ = (-4)² - 4 . (-1) . 5
∆ = 16 + 20
∆ = 36
x = - b ± √∆
------------
2a
x' = - (-4) + 6
------------
2 . (-1)
x' = 4 + 6
--------
- 2
x' = 10
-----
- 2
x' = - 5
x" = - (-4) - 6
-------------
2 . (-1)
x" = 4 - 6
-------
- 2
x" = - 2
----
- 2
x" = 1
S = {-5 , 1}