Odpowiedź:
Szczegółowe wyjaśnienie:
9.
6x - x(x-4) + (x²+4) = 4(x+5) -x(x-6)
6x - x² +4x +x² + 4 = 4x + 20 -x² + 6x
10x + 4 = 10x -x² + 20
x² -16 = 0
x² = 16
x1 = 4
x2 = -4
10.
x - (6x+1)/3 = 1/3 / *3
3x - 6x - 1 = 1
-3x = 2 / :(-3)
x = -2/3
11.
3x(2x-1) = 0
3x = 0 -> x1 =0
2x - 1 = 0 -> 2x=1 -> x2 = 1/2
12.
3x + 1 = x + 5
2x = 4
x = 2
odp. C
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Odpowiedź:
Szczegółowe wyjaśnienie:
9.
6x - x(x-4) + (x²+4) = 4(x+5) -x(x-6)
6x - x² +4x +x² + 4 = 4x + 20 -x² + 6x
10x + 4 = 10x -x² + 20
x² -16 = 0
x² = 16
x1 = 4
x2 = -4
10.
x - (6x+1)/3 = 1/3 / *3
3x - 6x - 1 = 1
-3x = 2 / :(-3)
x = -2/3
11.
3x(2x-1) = 0
3x = 0 -> x1 =0
2x - 1 = 0 -> 2x=1 -> x2 = 1/2
12.
3x + 1 = x + 5
2x = 4
x = 2
odp. C