Question

Determine o conjunto solução das equações:

a) 5x²-5x=0
b) 2x²+10x=0
c) 4x²-20x=0
d) 25x²-10x=0

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Answer 1

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

25x ( x -(2/5)) = 0

*** 25x = 0 ~~ x = 0

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

S = ( 0 , 2/5 )