Odpowiedź:
Szczegółowe wyjaśnienie:
a)
2(x - 1) + 3x = 4 - (2 - 2x)
2x - 2 + 3x = 4 - 2 + 2x
5x - 2 = 2x + 2 I - 2x + 2
3x = 4 I : 3
x = 4/3 = 1 i 1/3
b)
1 - [(x - 2) / 6] = -x + [3(x - 1) / 4] I * 12
12 - 2(x - 2) = -12x + 3 * (3x - 3)
12 - 2x + 4 = -12x + 9x - 9
-2x + 16 = -3x - 9 I + 3x - 16
x = -25
c)
2(x - 1)(2x + 3) = 4x² + 5x - 6
2(2x² + 3x - 2x - 3) = 4x² + 5x - 6
2(2x² + x - 3) = 4x² + 5x - 6
4x² + 2x - 6 = 4x² + 5x - 6 I - 4x² - 5x + 6
-3x = 0 I : (-3)
x = 0
d)
3(2x - 2) - 4 = -6(4 - x) + 14
6x - 6 - 4 = -24 + 6x + 14
6x - 10 = 6x - 10 I - 6x
-10 = -10 (x ∈ R)
" Life is not a problem to be solved but a reality to be experienced! "
© Copyright 2013 - 2024 KUDO.TIPS - All rights reserved.
Odpowiedź:
Szczegółowe wyjaśnienie:
a)
2(x - 1) + 3x = 4 - (2 - 2x)
2x - 2 + 3x = 4 - 2 + 2x
5x - 2 = 2x + 2 I - 2x + 2
3x = 4 I : 3
x = 4/3 = 1 i 1/3
b)
1 - [(x - 2) / 6] = -x + [3(x - 1) / 4] I * 12
12 - 2(x - 2) = -12x + 3 * (3x - 3)
12 - 2x + 4 = -12x + 9x - 9
-2x + 16 = -3x - 9 I + 3x - 16
x = -25
c)
2(x - 1)(2x + 3) = 4x² + 5x - 6
2(2x² + 3x - 2x - 3) = 4x² + 5x - 6
2(2x² + x - 3) = 4x² + 5x - 6
4x² + 2x - 6 = 4x² + 5x - 6 I - 4x² - 5x + 6
-3x = 0 I : (-3)
x = 0
d)
3(2x - 2) - 4 = -6(4 - x) + 14
6x - 6 - 4 = -24 + 6x + 14
6x - 10 = 6x - 10 I - 6x
-10 = -10 (x ∈ R)