Rozwiąż równania. a) 2:x = 3: (x-1) b) 4:(x+1) = 5:x c) 3/5 = 2x-1: (2-5x) d) (2x+1):(1-2x) = 2/3 e) (0,4x-1):3 = (2x-5):2 f) 4+x(do potęgi drugiej):x = (2x-1):2

a) 2:x = 3:(x-1) inaczej można zapisać w postaci proporcji: 2 -- 3 x -- x-1 2*(x-1) = 3x 3x = 2x - 2 3x - 2x = -2 x = -2 b) 4:(x+1) = 5:x 4 --- 5 x+1 --- x 4x = 5(x+1) 4x = 5x + 5 4x - 5x = 5 -x = 5 x = -5 c) 3/5 = (2x-1) : (2-5x) 3*(2-5x) = 5*(2x-1) 6 – 15x = 10x - 5 25x = 11 x = 11/25 d) (2x+1):(1-2x) = 2/3 2x+1 --- 2 1-2x --- 3 3*(2x+1) = 2*(1-2x) 6x +3 = 2 - 4x 6x + 4x = 2 - 3 10x = -1 x = -0,1 e) (0,4x-1):3 = (2x-5):2 0,4x-1 --- 2x-5 3 --- 2 2*(0,4x-1) = 3*(2x-5) 0,8x - 2 = 6x - 15 0,8x - 6x = -15 + 2 -5,2x = -13 x = 2,5 f) (4+x²)/x = (2x-1):2 2*(4+x²) = x*(2x-1) 8 + 2x² = 2x² - x /-2x² 8 = -x x = -8