Resolva as equações do 2o grau incompletas, referentes aos 1o e 2o casos:
a) 5x2 = 0
g) 9x2 – 9x = 0
b) 3x2 = 0
h) x2 + 3x = 0
c) x2 – 5x = 0
i) 3x2 + 15x = 0
d) 4x2 – 8x = 0
j) 5x2 + 10x = 0
e) x2 – 7x = 0
k) x2 – x = 0
f) 3x2 – 6x = 0
Soluções para a tarefa
Explicação passo-a-passo:
a)
5x² = 0
x² = 0/5
x² = 0
x = √0
x = 0
S = {0}
g)
9x² - 9x = 0
9x.(x - 1) = 0
• 9x' = 0
• x' = 0/9
• x' = 0
x - 1 = 0
• x" = 1
S = {0 ; 1}
b)
3x² = 0
x² = 0/3
x² = 0
x = √0
x = 0
S = {0}
h)
x² + 3x = 0
x.(x + 3) = 0
• x' = 0
x + 3 = 0
• x" = - 3
S = {- 3 ; 0}
c)
x² - 5x = 0
x.(x - 5) = 0
• x' = 0
x - 5 = 0
• x" = 5
S = {0 ; 5}
i)
3x² + 15x = 0
3x.(x + 5) = 0
• 3x' = 0
• x' = 0/3
• x' = 0
x + 5 = 0
• x = - 5
S = {- 5 ; 0}
d)
4x² - 8x = 0
4x.(x - 2) = 0
• 4x' = 0
• x' = 0/4
• x' = 0
x - 2 = 0
• x" = 2
S = {0 ; 2}
j)
5x² + 10x = 0
5x.(x + 2) = 0
• 5x' = 0
• x' = 0/5
• x' = 0
x + 2 = 0
• x" = - 2
S = {- 2 ; 0}
e)
x² - 7x = 0
x.(x - 7) = 0
• x' = 0
x - 7 = 0
• x" = 7
S = {0 ; 7}
k)
x² - x = 0
x.(x - 1) = 0
• x' = 0
x - 1 = 0
• x" = 1
S = {0 ; 1}
f)
3x² - 6x = 0
3x.(x - 2) = 0
• 3x' = 0
• x' = 0/3
• x' = 0
x - 2 = 0
• x" = 2
S = {0 ; 2}