Question

Determine o conjunto solução das equações:

a) 10x²-5=0
b) 4x²+10=0
c) x²-20=0
d) 25x²-100=0​

Answer 1

Resposta:

a) 5x²-5x=0

5X(x-1)=0

*** 5x = 0 ~~ x = 0

*** x - 1 = 0 ~~ x = 1

S = ( 0 , 1 )

b) 2x²+10x=0

2x ( x +5) = 0

*** 2x = 0 ~~ x = 0

*** x + 5 = 0 ~~ x = -5

S = ( 0 , -5 )

c) 4x²-20x=0

4x ( x -5) = 0

*** 4x = 0 ~~ x = 0

*** x - 5 = 0 ~~ x = 5

S = ( 0 , 5 )

d) 25x²-10x=0 (outra forma)

divide tudo por 25:

x²-(2/5)x = 0

x ( x -(2/5)) = 0

*** x = 0

*** x - (2/5) = 0 ~~ x = 2/5

S = ( 0 , 2/5 )