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sveta16081976
@sveta16081976
July 2022
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решите уровнение
1) 2x³-50x=0
2) 16x³+8x²+x=0
3) x³+2x²-36x-72=0
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Verified answer
Решение:
1) 2x³-50x=0
2x(x²-25)=0
2x(x+5)(x-5)=0
x(x+5)(x-5)=0
x=0 x+5=0 x-5=0
x₁=0 x₂=-5 x₃=5
2) 16x³+8x²+x=0
x(16x²+8x+1)=0
x(4x+1)²=0
x=0 4x+1=0
x₁=0 x₂=
3) x³+2x²-36x-72=0
x²(x+2)-36(x+2)=0
(x²-36)(x+2)=0
(x+6)(x-6)(x+2)=0
x+6=0 x-6=0 x+2=0
x₁=-6 x₂=6 x₃=-2
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Verified answer
Решение:1) 2x³-50x=0
2x(x²-25)=0
2x(x+5)(x-5)=0
x(x+5)(x-5)=0
x=0 x+5=0 x-5=0
x₁=0 x₂=-5 x₃=5
2) 16x³+8x²+x=0
x(16x²+8x+1)=0
x(4x+1)²=0
x=0 4x+1=0
x₁=0 x₂=
3) x³+2x²-36x-72=0
x²(x+2)-36(x+2)=0
(x²-36)(x+2)=0
(x+6)(x-6)(x+2)=0
x+6=0 x-6=0 x+2=0
x₁=-6 x₂=6 x₃=-2