Rozwiąż równania a) x²-2x=0 b) x²=7x c) 12x=3x² d) (x-3)²=0 e) (x+1)(x-1)=0 f) (2x-3)²=0 Daje najjjj

[latex]x^2-2x=0\ x(x-2)=0\ x=0 veex=2\\ x^2=7x\ x^2-7x=0\ x(x-7)=0\ x=0 vee x=7\\ 12x=3x^2\ 3x^2-12x=0\ 3x(x-4)=0\ x=0 vee x=4\\ (x-3)^2=0\ x-3=0\ x=3\\ (x+1)(x-1)=0\ x=-1 vee x=1\\ (2x-3)^2=0\ 2x-3=0\ 2x=3\ x=dfrac{3}{2} [/latex]

a) x^2 - 2x = 0 x(x - 2) = 0 x1 = 0; x2 = 2 b) x^2 = 7x x^2 - 7x = 0 x(x - 7) = 0 x1 = 0; x2 = 2 c) 12x = 3x^2 /;3 4x = x^2 4x - x^2 = 0 x(4 - x) = 0 x1 = 0; x2 = 4 d) (x - 3)^2 = 0 (x - 3)(x - 3) = 0 x1 = x2 = 3 e) (x + 1)(x - 1) = 0 x1 = 1; x2 = -1 f) (2x -3)² = 0 4x² - 12x + 9 = 0 D: 12² - 4.4.9 = 0 x1 = x2 = -b/2a = 12/8 = 3/2 Pozdrawiam :-)