Odpowiedź:
Szczegółowe wyjaśnienie:
a)
2x - 2(3x + 3) = 6
2x - 6x - 6 = 6
- 4x - 6 = 6
- 4x = 6 + 6
- 4x = 12 /:(-4)
x = - 3
b)
x/3 - x/5 = 2 /*15
5x - 3x = 30
2x = 30. /:2
x = 15
c)
(3x - 1)/3x = x/(x - 1)
Założenie :
3x =/= 0 => x=/=0
x - 1 =/= 0 => x =/= 1
D : x € R\{0; 1}
3x * x = (3x - 1)* (x - 1)
3x² = 3x² - 3x - x + 1
3x²- 3x² = - 4x + 1
4x = 1 /:4
x = ¼
x € D
Odp :
a) x = - 3
b) x = 15
c) x = ¼
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Odpowiedź:
Szczegółowe wyjaśnienie:
a)
2x - 2(3x + 3) = 6
2x - 6x - 6 = 6
- 4x - 6 = 6
- 4x = 6 + 6
- 4x = 12 /:(-4)
x = - 3
b)
x/3 - x/5 = 2 /*15
5x - 3x = 30
2x = 30. /:2
x = 15
c)
(3x - 1)/3x = x/(x - 1)
Założenie :
3x =/= 0 => x=/=0
x - 1 =/= 0 => x =/= 1
D : x € R\{0; 1}
3x * x = (3x - 1)* (x - 1)
3x² = 3x² - 3x - x + 1
3x²- 3x² = - 4x + 1
4x = 1 /:4
x = ¼
x € D
Odp :
a) x = - 3
b) x = 15
c) x = ¼