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Anya1515
@Anya1515
August 2022
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Решить уравнения:
1) 16х^3+8x^2+x=0
2) x^3+2x^2-36x-72=0
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m11m
Verified answer
1) 16x³+8x²+x=0
x(16x²+8x+1)=0
x(4x+1)²=0
x=0 (4x+1)²=0
4x+1=0
4x= -1
x= -1/4
x= -0.25
Ответ: -0,25; 0.
2) x³+2x²-36x-72=0
x²(x+2)-36(x+2)=0
(x+2)(x²-36)=0
(x+2)(x-6)(x+6)=0
x+2=0 x-6=0 x+6=0
x= -2 x=6 x= -6
Ответ: -6; -2; 6.
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Answers & Comments
Verified answer
1) 16x³+8x²+x=0x(16x²+8x+1)=0
x(4x+1)²=0
x=0 (4x+1)²=0
4x+1=0
4x= -1
x= -1/4
x= -0.25
Ответ: -0,25; 0.
2) x³+2x²-36x-72=0
x²(x+2)-36(x+2)=0
(x+2)(x²-36)=0
(x+2)(x-6)(x+6)=0
x+2=0 x-6=0 x+6=0
x= -2 x=6 x= -6
Ответ: -6; -2; 6.