Rozwiąż równania: a) x^3+4x^2-5x=0 b)x^4-3x^2+2=0 c)x^3-x^2-9x+9=0 d)2x^3+2x^2-4x-4=0

a) x^3+4x^2-5x=0 x(x²+4x-5)=0 x=0 Δ=b²-4ac Δ=4²-4*1*(-5)=36 x1=-b-√Δ/2a=-4-√36/2=-5 x2=-b+√Δ/2a=-4+√36/2=1 b)x^4-3x^2+2=0 x²(x²-3)+2=0 (x²+2)(x²-3)=0 (x²+2)(x-3)(x+3)=0 x²≠-2 x=3 x=-3 c)x^3-x^2-9x+9=0 x²(x-1)-9(x-1)=0 (x²-9)(x-1)=0 (x-3)(x+3)(x-1)=0 x=3 x=-3 x=1 d)2x^3+2x^2-4x-4=0 2x²(x+1)-4(x+1)=0 (2x²-4)(x+1)=0 (√2x-2)(√2x+2)(x+1)=0 x=2/√2 x=-2/√2 x=-1