siema potrzebuje to na wtorek legenda
^-to do kwadratu
2x-(2x-1)^=4x-(x+2)^-3x(x+1)
-4x-(3x-1)^-(4x+7)(4x-7)=2x-(5x+1)^
-2x-(x+1)^< ruwne 3x-(x-7)(x+7)
-6x-(6x-1)^=2x-(5x+2)^-11x(x+2)
-2x(7x+1)^ >równe 2x-(6x+2)^-(13x+2)(x-1)
2x-(6x-1)
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a)
2x-(2x-1)²=4x-(x+2)²-3x(x+1)
2x –(4x² -4x +1) = 4x – ( x² + 4x + 4) – 3x² - 3x
2x – 4x² + 4x -1 = 4x - x² - 4x – 4 – 3x² -3x
2x – 4x² + 4x - 4x + x² + 4x + 3x² + 3x = -4 +1
9x = -3 /:9
x = -3/9
x = -1/3
b)
-4x-(3x-1)²-(4x+7)(4x-7)=2x-(5x+1)²
-4x –(9x² -6x +1) –(16x² -49) = 2x –( 25x² + 10x + 1)
-4x -9x² + 6x – 1 – 16x² + 49 = 2x – 25x² - 10x – 1
-4x -9x² + 6x – 16x² - 2x + 25x² + 10x = -1+1 - 49
10x = -49 /: 10
x= -49/10
x = -4,9
c)
2x-(x+1)² ≤ 3x-(x-7)(x+7)
2x – ( x² + 2x + 1)≤ 3x – (x² - 49)
2x - x² - 2x -1 ≤ 3x - x² + 49
2x - x² - 2x - 3x + x² ≤ 49 + 1
-3x ≤ 50 /:(-3)
x ≥ -50/3
d)
-6x-(6x-1)² = 2x-(5x+2)²-11x(x+2)
-6x – ( 36x² -12x +1) = 2x – ( 25x² + 20x +4) – 11x² - 22x
-6x – 36x² + 12x – 1 = 2x – 25x² - 20x -4 – 11x² - 22x
-6x – 36x² + 12x - 2x + 25x² + 20x + 11x² + 22x = -4 + 1
46x = -3 / : 46
x = - 3/46