решите уравнение 0,04x^3-25x=0 64x^2-25=0 4/9x^3-16x=0. Created by Adam200211. algebra-ru

9x^3-16x=0...

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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$0,04x^3-25x=0\\0.04x(x^2-625)=0\\x(x-25)(x+25)=0\\x=0\\or\\x=25\\or\\x=-25$

$64x^2-25=0 \\x^2-(\frac{5}{8})^2=0\\(x-\frac{5}{8})(x+\frac{5}{8})=0\\x=\frac{5}{8}\\or\\x=-\frac{5}{8}$

$\frac{4}{9}x^3-16x=0\\\frac{4}{9}x(x^2-36)=0\\x(x-6)(x+6)=0\\x=0\\or\\x=6\\or\\x=-6$

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