Rozwiąż równanie. a)x²-2x=0 b)3x²+8x=0 c)4x²-x/2=0 d)x²=-7x e)-5x-4x²=0 f)1/3x²=5x g)-2/7x²+2x=0 h)x²+2/2=4x+1

a)x²-2x=0 x(x-2)=0 x=0 lub x=2 b)3x²+8x=0 x(3x+8)=0 3x+8=0 lub x=0 3x=-8 x=-2⅔ c)4x²-x/2=0 x(4x-½)=0 4x-½=0 lub x=0 4x=½ x=¹/₈ d)x²=-7x x²+7x=0 x(x+7)=0 x=0 lub x=-7 e)-5x-4x²=0 x(-5-4x)=0 -4x=5 lub x=0 x=-⁵/₄=-1¼ f)1/3x²=5x ⅓x²-5x=0 x(⅓x-5)=0 ⅓x=5 lub x=0 x=15 g)-2/7x²+2x=0 x(-²/₇x+2)=0 -²/₇x=-2 lub x=0 x=7 h)x²+2/2 =4x+1 h)x²+2/2-4x-1=0 x²-4x=0 x(x-4)=0 x=4 lub x=0

a) x²-2x = 0 x(x - 2) = 0 x = 0 v x - 2 = 0 x = 0 v x = 2 x₁ = 0 i x₂ = 2 b) 3x²+8x = 0 x(3x + 8) = 0 x = 0 v 3x + 8 = 0 x = 0 v 3x = - 8 /:3 x = 0 v x = -⁸/₃ = -2⅔ x₁ = 0 i x₂ = -2⅔ c) 4x²-x/2 = 0 /*2 8x² - x = 0 x(8x - 1) = 0 x = 0 v 8x - 1 = 0 x = 0 v 8x = 1 /:8 x = 0 v x = ⅛ x₁ = 0 i x₂ = ⅛ d) x² = -7x x² + 7x = 0 x(x + 7) = 0 x = 0 v x + 7 = 0 x = 0 v x = -7 x₁ = 0 i x₂ = -7 e) -5x-4x² = 0 x(-5 - 4x) = 0 x = 0 v -5 - 4x = 0 x = 0 v -4x = 5 /:(-4) x = 0 v x = - ⁵/₄ = - 1¼ x₁ = 0 i x₂ = - 1¼ f) ⅓x² = 5x /*3 x² = 15x x² - 15x = 0 x(x - 15) = 0 x = 0 v x - 15 = 0 x = 0 v x = 15 x₁ = 0 i x₂ = 15 g) -²/₇x² + 2x = 0 /*(-⁷/₂) x² - 7x = 0 x(x - 7) = 0 x = 0 v x - 7 = 0 x = 0 v x = 7 x₁ = 0 i x₂ = 7 h) x²+2/2 = 4x + 1 / *2 x² + 2 = 8x + 2 x² + 2 - 8x - 2 = 0 x² - 8x = 0 x(x - 8) = 0 x = 0 v x - 8 = 0 x = 0 v x = 8 x₁ = 0 i x₂ = 8