rozwiaż równania:
3x³+x²-6x-2=0
x²(8-x²)*(x²-3x+2)=0
(2x³-x)*(x³+2x)=0
x²(3x+1)-2(3x+1)=0
x²-2=0 U 3x+1=0
x²=2 x=-1/3
x=±√2
odp
x=-√2 U x=-1/3 U x=√2
x²=0 U 8-x²=0 U x²-3x+2=0
X=0 -x²=-8 Δ=9-8=1 √Δ=1
x²=8 x1=3-1/2=2/2=1
x=±√8 x2=3+1/2=4/2=2
x=±2√2
x=-2√2 U x=0 U x=1 U x=2 U x=2√2
2x³-x=0 U x³+2x=0
x(2x²-1)=0 x(x²+2)=0
x=0 U 2x²=1 x=0 U x²+2=0
x²=1/2 x²≠-2 (sprzeczne)
x=√1/2
x=0 U x=√1/2
(3x+1)(x-√2)(x+√2)=0
3x-1=0 x-√2=0 x+√2=0
x=⅓ x=√2 x=-√2
x²(8-x²)(x²-3x+2)=0
x=0
8-x²=0
x²=8
x=2√2 x=-2√2
x²-3x+2=0
Δ=9-8=1
x₁=1 x₂=2
(2x³-x)(x³+2x)=0
x²(2x²-1)(x²+2)=0
2x²=1
x=√½ x=-√½
x²=-2 (sprzeczne)
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3x³+x²-6x-2=0
x²(3x+1)-2(3x+1)=0
x²-2=0 U 3x+1=0
x²=2 x=-1/3
x=±√2
odp
x=-√2 U x=-1/3 U x=√2
x²(8-x²)*(x²-3x+2)=0
x²=0 U 8-x²=0 U x²-3x+2=0
X=0 -x²=-8 Δ=9-8=1 √Δ=1
x²=8 x1=3-1/2=2/2=1
x=±√8 x2=3+1/2=4/2=2
x=±2√2
odp
x=-2√2 U x=0 U x=1 U x=2 U x=2√2
(2x³-x)*(x³+2x)=0
2x³-x=0 U x³+2x=0
x(2x²-1)=0 x(x²+2)=0
x=0 U 2x²=1 x=0 U x²+2=0
x²=1/2 x²≠-2 (sprzeczne)
x=√1/2
odp
x=0 U x=√1/2
3x³+x²-6x-2=0
x²(3x+1)-2(3x+1)=0
(3x+1)(x-√2)(x+√2)=0
3x-1=0 x-√2=0 x+√2=0
x=⅓ x=√2 x=-√2
x²(8-x²)(x²-3x+2)=0
x=0
8-x²=0
x²=8
x=2√2 x=-2√2
x²-3x+2=0
Δ=9-8=1
x₁=1 x₂=2
(2x³-x)(x³+2x)=0
x²(2x²-1)(x²+2)=0
x=0
2x²=1
x=√½ x=-√½
x²=-2 (sprzeczne)