Question

1. Determine o conjunto solução das equações,
sendo U = R.
A) x² - 5x = 0
B) 9x² - 9x = 0
C) x² - x = 0
d)5x²+10x=0
e)3x²-6x=0
f)3x²-5x=0​

Answer 1

Resposta:

a) x • (x - 5) = 0

x = 0

x - 5 = 0

x = 5

S = {5,0}

b) x • (9x - 9) = 0

x = 0

9x - 9 = 0

9x = 9

x = 9/9

x = 1

S = {0,1}

c) x • (x - 1) = 0

x = 0

x - 1 = 0

x = 1

S = {0,1}

d) x • (5x + 10) = 0

x = 0

5x + 10 = 0

5x = -10

x = -10/5

x = -2

S = {0, -2}

e) x • (3x - 6) = 0

x = 0

3x - 6 = 0

3x = 6

x = 6/3

x = 2

S = {0, 2}

f) x • (3x - 5) = 0

x = 0

3x - 5 = 0

3x = 5

x = 5/3

S = {0, 5/3}