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Adam200211
@Adam200211
July 2022
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решите уравнение 0,04x^3-25x=0 64x^2-25=0 4/9x^3-16x=0
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Answers & Comments
fasalv
1) Умножаем на 25
x^3 - 625x = x(x^2 - 625) = x(x - 25)(x + 25) = 0
x1 = -25; x2 = 0; x3 = 25
2) x^2 = 25/64
x1 = -5/8; x2 = 5/8
3) Умножаем на 9
4x^3 - 144x = 4x(x^2 - 36) = 4x(x - 6)(x + 6) = 0
x1 = -6; x2 = 0; x3 = 6
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Удачник66
0,04 = 4/100 = 1/25, поэтому 1) решено неправильно
fasalv
Каюсь, ошибся
Удачник66
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Answers & Comments
x^3 - 625x = x(x^2 - 625) = x(x - 25)(x + 25) = 0
x1 = -25; x2 = 0; x3 = 25
2) x^2 = 25/64
x1 = -5/8; x2 = 5/8
3) Умножаем на 9
4x^3 - 144x = 4x(x^2 - 36) = 4x(x - 6)(x + 6) = 0
x1 = -6; x2 = 0; x3 = 6
Verified answer