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renta123456789
@renta123456789
July 2022
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Решите уравнения
1)5x^3-15x^2-x+3=0
2)x^3-2x^2+x=(x^2-2x+1)^2
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Дарешка
1) x(5x^2 -15x-1)+3 =0
x(5x^2 -15x-1) = -3
x = -3 или 5x^2 -15x-1 = -3
5x^2-15x+2 = 0
D = (-15)^2 -4*5*2 = 225 - 80 = 145 (√D = √145 ≈ 12)
x1 = (15 +12) / 2*5 = 27/10 =2,7
x2 = (15-12) / 2*5 = 3/10 = 0,3
Ответ: x = -3; 0,3; 2,7
6 votes
Thanks 5
renta123456789
к минусу 3 приравнивать нельзя,только к нулю же
Дарешка
можно, посмотри внимательно вторую строчку
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Answers & Comments
x(5x^2 -15x-1) = -3
x = -3 или 5x^2 -15x-1 = -3
5x^2-15x+2 = 0
D = (-15)^2 -4*5*2 = 225 - 80 = 145 (√D = √145 ≈ 12)
x1 = (15 +12) / 2*5 = 27/10 =2,7
x2 = (15-12) / 2*5 = 3/10 = 0,3
Ответ: x = -3; 0,3; 2,7