Rozwiąz równania
a)
b)
c
-2/5(3 - 2x) = 0,1(4x + 1) / *10
-4(3 - 2x) = 4x + 1
-12 + 8x = 4x + 1
6x - 4x = 1 + 12
4x = 13
x = 13/4
x = 3,25
4(x + 1/2)² = (2x - 3)(2x + 3)
4(x² + x + 1/4) = 4x² - 9
4x² + 4x + 1 = 4x² - 9
4x² - 4x² + 4x = -9 - 1
4x = -10 /:4
x = -10/4
x = -2,5
1/3(5x + 2) - 2(1/2x + 1/3) = 2/5x
5/3x + 2/3 - x - 2/3 = 2/5x / *15
25x + 10 - 15x - 10 = 6x
10x - 6x = 0
4x = 0 /:4
x = 0
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-2/5(3 - 2x) = 0,1(4x + 1) / *10
-4(3 - 2x) = 4x + 1
-12 + 8x = 4x + 1
6x - 4x = 1 + 12
4x = 13
x = 13/4
x = 3,25
4(x + 1/2)² = (2x - 3)(2x + 3)
4(x² + x + 1/4) = 4x² - 9
4x² + 4x + 1 = 4x² - 9
4x² - 4x² + 4x = -9 - 1
4x = -10 /:4
x = -10/4
x = -2,5
1/3(5x + 2) - 2(1/2x + 1/3) = 2/5x
5/3x + 2/3 - x - 2/3 = 2/5x / *15
25x + 10 - 15x - 10 = 6x
10x - 6x = 0
4x = 0 /:4
x = 0