a) 2x² - 5x = 0 2x(x - 2,5) = 0 x = 0 lub x = 2,5 x² = x / - x x² - x = 0 x(x - 1) = 0 x = 0 lub x = 1 6x² = -5x / + 5x 6x² + 5x = 0 6x(x + 5/6) = 0 x = 0 lub x = -5/6 9x² - x = 0 9x(x - 1/9) = 0 x = 0 lub x = 1/9 Zad 2 x² - 10x + 25 = 0 (x - 5)² = 0 x - 5 = 0 / + 5 x = 5 9x² + 1 = 6x / -6x 9x² - 6x + 1 = 0 (3x - 1)² = 0 3x - 1 = 0 / + 1 3x = 1 / : 3 x = 1/3 9x² = 12x - 4 /-12x + 4 9x² -12x + 4 = 0 (3x - 2)² = 0 3x - 2 = 0 / + 2 3x = 2 / : 3 x = 2/3 4x² = 12x - 9 /-12x +9 4x² - 12x + 9 = 0 (2x - 3)² = 0 2x - 3 = 0 / + 3 2x = 3 / : 2 x = 1,5 16x² + 25 = 40x /-40x 16x² - 40x + 25 = 0 (4x - 5)² = 0 4x - 5 = 0 /+5 4x = 5 / : 4 x = 5/4 = 1 1/4 25x² + 10x + 1 = 0 (5x + 1)² = 0 5x + 1 = 0 / -1 5x = -1 / : 5 x = -1/5
2x²-5x=0 x(2x-5)=0 x=0 v 2x-5=0 x=0 v 2x=5 x=0 v x=2,5 x∈{0;2,5} x²=x x²-x=0 x(x-1)=0 x=0 v x-1=0 x=0 v x=1 x∈{0;1} 6x²=-5x 6x²+5x=0 x(6x+5)=0 x=0 v 6x+5=0 x=0 v 6x=-5 x=0 v x=-5/6 x∈{-5/6;0} 9x²-x=0 x(9x-1)=0 x=0 v 9x-1=0 x=0 v 9x=1 x=0 v x=1/9 x∈{0;1/9} x²-10x+25=0 (x-5)²=0 x-5=0 x=5 x∈{5} 9x²+1=6x 9x²-6x+1=0 (3x-1)²=0 3x-1=0 3x=1 x=1/3 x∈{1/3} 9x²=12x-4 9x²-12x+4=0 (3x-2)²=0 3x-2=0 3x=2 x=2/3 x∈{2/3} 4x²=12x-9 4x²-12x+9=0 (2x-3)²=0 2x-3=0 2x=3 x=1,5 x∈{1,5} 16x²+25=40x 16x²-40x+25=0 (4x-5)²=0 4x-5=0 4x=5 x=5/4 x∈{5/4} 25x²+10x+1=0 (5x+1)²=0 5x+1=0 5x=-1 x=-1/5 x∈{-1/5}
