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OlesyaLife
@OlesyaLife
August 2022
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Решите уравнение: 24x⁴+16х³-3х-2=0
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Dимасuk
Verified answer
24x⁴ + 16x³ - 3x - 2 = 0
8x³(3x + 2) - (3x + 2) = 0
(8x³ - 1)(3x + 2) = 0
Произведение множителей равно нулю, когда хотя бы один из множителей равен нулю:
8x³ = 1
x³= 1/8
x = 1/2
3x + 2 = 0
3x = -2
x = -2/3
Ответ: 1/2; -2/3.
2 votes
Thanks 1
sedinalana
24x⁴+16х³-3х-2=0
8x
³(3x+2)-(3x+2)=0
(3x+2)(8x³-1)=0
3x+2=0
3x=-2
x=-2/3
8x3-1=0
8x3=1
x3=1/8
x=-1/2
Ответ x={-2/3;1/2}
1 votes
Thanks 1
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Answers & Comments
Verified answer
24x⁴ + 16x³ - 3x - 2 = 08x³(3x + 2) - (3x + 2) = 0
(8x³ - 1)(3x + 2) = 0
Произведение множителей равно нулю, когда хотя бы один из множителей равен нулю:
8x³ = 1
x³= 1/8
x = 1/2
3x + 2 = 0
3x = -2
x = -2/3
Ответ: 1/2; -2/3.
8x³(3x+2)-(3x+2)=0
(3x+2)(8x³-1)=0
3x+2=0
3x=-2
x=-2/3
8x3-1=0
8x3=1
x3=1/8
x=-1/2
Ответ x={-2/3;1/2}