WIELOMIANY Rozwiąż równania: a) x3+1=0 b) 2x4+3=0 c) 2x6 -126=0 d) x3-5x2=0 e) x3-9x=0 f) x3+3x2+2x=0 g) 2x3 +2x2 -12x=0 h) x3+x2-9x-9=0 i) x3-6x2-12x+72=0 j) -9x-5x2=-x3-45 k) 2x3-4x2-6x+12=0 l) 3x(x2+5)(2-x)(x+1)=0 m) (x+1)(x+2)(x2+3)=0

a) x³+1=0 x³ = -1 x=∛ -1 x= -1 b) 2x⁴+3=0 2x⁴= -3 x⁴ = -3/2 x⁴= -1.5 x ≠ ⁴√ -1.5 c) 2x⁶ -126=0 2x⁶=126 x⁶=126/2 x⁶=63 x=⁶√63 d) x³-5x²=0 x²(x-5)=0 x²=0   x=0 x-5=0     x=5  e) x³-9x=0 x(x²-9)=0 x(x-3)(x+3)=0 x=0 x-3=0 x=3 x+3=0 x= -3 f) x³+3x²+2x=0 x(x²+3x+2)=0 x=0 x²+3x+2=0 x₁+x₂= -3 x₁x₂=2 x₁= -2 x₂= -1 g) 2x³ +2x² -12x=0 2x(x²+x-6)=0 2x=0 x=0 x²+x-6=0 x₁+x₂= -1 x₁x₂= -6 x₁=  -3 x₂= 2  h) x³+x²-9x-9=0 x²(x+1)-9(x+1)=0 (x+1)(x²-9)=0 (x+1)(x-3)(x+3)=0 x+1=0 x= -1 x-3=0 x=3 x+3=0 x= -3 i) x³-6x²-12x+72=0 x²(x-6)-12(x-6)=0 (x-6)(x²-12)=0 x-6=0 x=6 x²-12=0 x²=12 x=+-√12 x=2√3 x= -2√3 j) -9x-5x²= -x³-45 x³-5x²-9x+45=0 x²(x-5)-9(x-5)=0 (x-5)(x²-9)=0 x-5=0 x=5 x²-9=0 x²=9 x=+ -√9 x=3 x= -3 k) 2x³-4x²-6x+12=0 2x²(x-2)-6(x-2)=0 (x-2)(2x²-6)=0 x-2=0 x=2 2x²-6=0 2x²=6 x²=6/2 x²=3 x=+-√3 l) 3x(x²+5)(2-x)(x+1)=0 3x=0 x=0 x²+5=0 x²=5 x=+-√5 2-x=0 x=2 x+1=0 x=-1 m) (x+1)(x+2)(x²+3)=0x (x+1)(x+2)(x²+3)=0 x+1=0 x= -1 x+2=0 x= -2 x²+3=0 x²≠ -3