Question

2) Resolva as equações por fatoração:
a) x2 + 6x = 0
b) x2 – 10x = 0
c) x2 + 25 x = 0
d) 2x2 + 4x = 0
e) x2-3x = 0
f) 3x2 - 6x = 0
g) 4x2 - 4x = 0
h) x2 + x = 0​

Answer 1

a) x² + 6x = 0

x × (x + 6) = 0

x = 0

x + 6 = 0

x' = 0

x'' = -6

b) x² - 10x = 0

x × (x - 10) = 0

x = 0

x - 10 = 0

x' = 0

x" = 10

c) x² + 25x = 0

x × (x + 25) = 0

x = 0

x + 25 = 0

x' = 0

x" = -25

d) 2x² + 4x = 0

2x × (x + 2) = 0

x × (x + 2) = 0

x = 0

x + 2 = 0

x' = 0

x" = -2

e) x² - 3x = 0

x × (x - 3) - 0

x = 0

x - 3 = 0

x' = 0

x" -3

f) 3x² - 6x = 0

3x × (x - 2) = 0

x × (x - 2) = 0

x = 0

x - 2 = 0

x' = 0

x" = 2

g) 4x² - 4x = 0

4x × (x - 1) = 0

x × (x - 1) = 0

x = 0

x - 1 = 0

x' = 0

x" = 1

h) x² + x = 0

x × (x + 1) = 0

x = 0

x + 1 = 0

x' = 0

x" = -1