Wielomiany.   Rozwiaż równania a) x^2(5x-3)(x+1)=0 b) 10x^3+ 25x^2 - 8x - 20 = 0.       DZIĘKI :>     

Rozwiaż równania a)   x^2(5x-3)(x+1)=0 x^2 * 5(x-3/5)(x+1)=0   x₁ = 0 x₂ = 3/5 x₃ = -1   b) 10x^3+ 25x^2 - 8x - 20 = 0.   10x^3+ 25x^2 - 8x - 20 = 0. 5x²(2x +5) - 4(2x + 5) = 0 (2x+5)(5x² - 4) = 0 2(x + 5/2)5(x² - 4/5) = 0   10(x + 5/2)(x² - 4/5) = 0   10*(x + 5/2)(x - 2/√5)(x + 2/√5)= 0 10*(x + 5/2)(x - 2√5/5)(x + 2√5/5)= 0 10*(x + 5/2)(x - 2√5/5)(x + 2√5/5)= 0 10(x + 5/2)(x - 2√5/5)(x + 2√5/5)= 0   [latex]10(x+frac{5}{2})(x-frac{2sqrt{5}}{5})(x+frac{2sqrt{5}}{5})=0[/latex] x₁= -5/2 x₂= 2√5/5 x₃= -2√5/5   ---