Odpowiedź:
a) (5x+2)2=20x
[tex]25 x { }^{2} + 20x + 4 = 20x \\ 25x {}^{2} + 4 = 0 \\ 0 {}^{2} - 4 \times 25 \times 4 = - 400 \\ [/tex]
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b) (x-2)*(x+2)=5
[tex]x {}^{2} - 4 = 5 \\ x {}^{2} = 9 \\ x = 3 \: \: \: \: \: \: v \: \: \: \: \: x = - 3[/tex]
C)(2x-1)*(x+2)=3x-2
[tex]2x {}^{2} + 4x - x - 2 = 3x - 2 \\ 2x {}^{2} + 3x - 2 = 3x - 2 \\ 2x {}^{2} = 0[/tex]
d) (3+2x)2=(3x+2)2+10
[tex]9 + 12x + 4x {}^{2} = 9x {}^{2} + 12x + 4 + 10 \\ 4x {}^{2} + 12x + 9 = 9x {}^{2} + 12x + 14 \\ 4x {}^{2} + 9 = 9x {}^{2} + 14 \\ - 5x {}^{2} = - 5 \\ x {}^{2} = 1 \\ x = 1 \: \: \: \: \: v \: \: \: \: \: x = - 1[/tex]
