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МСЗахар
@МСЗахар
July 2022
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помогите решить уравнение x^6-7x^3-8=0 используя метод новой переменной
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ShirokovP
Verified answer
X^3 = t
t^2 - 7t - 8 = 0
D = 49 + 32 = 81
t1 = ( 7 + 9)/2 = 8
t2 =( 7 - 9)/2 = - 1
1) x^3 = 8
x^3 = 2^3
x = 2
2) x^3 = - 1
x = - 1
Ответ
- 1; 2
4 votes
Thanks 2
MizoriesKun
X^6-7x^3-8=0 x³=t
t²-7t-8=0
D=49+32=81 √D=9
t=(7+9)/2=8 x³=8 x³=2³ x=2
t=(7-9)/2=-1 x³= -1 x= -1
1 votes
Thanks 3
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Answers & Comments
Verified answer
X^3 = tt^2 - 7t - 8 = 0
D = 49 + 32 = 81
t1 = ( 7 + 9)/2 = 8
t2 =( 7 - 9)/2 = - 1
1) x^3 = 8
x^3 = 2^3
x = 2
2) x^3 = - 1
x = - 1
Ответ
- 1; 2
t²-7t-8=0
D=49+32=81 √D=9
t=(7+9)/2=8 x³=8 x³=2³ x=2
t=(7-9)/2=-1 x³= -1 x= -1