решите уровнение 1) 2x³-50x=0 2) 16x³+8x²+x=0 3) x³+2x²-36x-72=0. Created by sveta16081976. matematika-ru

Решение:1) 2x³-50x=0 2x(x²-25)=0 2x(x+5)(x-5)=0 x(x+5)(x-5)=0x=0 x+5=0 x-5=0x₁=0 x₂=-5 x₃=52) 16x³+8x²+x=0 x(16x²+8x+1)=0 x(4x+1)²=0x=0 4x+1=0x₁=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)=0x+6=0 x-6=0 x+2=0x₁=-6 x₂=6 x₃=-2

решите уровнение 1) 2x³-50x=0 2) 16x³+8x²+x=0 3) x³+2x²-36x-72=0...

sveta16081976 @sveta16081976

July 2022 1 6 Report

решите уровнение
1) 2x³-50x=0
2) 16x³+8x²+x=0
3) x³+2x²-36x-72=0

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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= $-\frac{1}{4}$

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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