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Rozwiąż równanie
(3-x)²-(x +1/3)² = 2/9
4(1/2x-3)² = (2-x)²
(6+1/3x)(-1/3x+6)+(1/3x - 4)² = 4
(-4x-3)(4x-3)+8(1-√2x)² = 1
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1. (3-x)2 - (x+1/3)2=2/9
9-6x+x2-(x2+2/3x+1/9)=2/9
9-6x+x2-x2-2/3x-1/9=2/9
9-20/3x=1/3
26/3=20/3x
x=1 i 3/10
2. 4(1/2x-3)2=(2-x)2
4(1/4x2-3x+9)=4-4x+x2
-12x+36=4-4x
32=8x
x=4
3.(6+1/3x)(6-1/3x)+(1/3x-4)2=4
36-1/9x2+1/9x2-8/3x+16=4
48=8/3x
x=21
4.(-3-4x)(-3+4x)+(1-√2x)2=1
9-16x2+8(1-2√2x+2x2)=
9+8-16√2x=1
17-16√2x=1
16=16√2x
x=1/√2
x=√2/2