решите уравнение x^3-8x=0 x^3-12x=0 2x^4-x^2=0 3x^3-x=0 ^3- это степень. Created by gb03041966. algebra-ru

решите уравнение x^3-8x=0 x^3-12x=0 2x^4-x^2=0 3x^3-x=0 ^3- это степень...

gb03041966 @gb03041966

July 2022 1 2 Report

решите уравнение
x^3-8x=0 x^3-12x=0
2x^4-x^2=0 3x^3-x=0

^3- это степень

Answers & Comments

Dимасuk

Verified answer

X³ - 8x = 0
x(x² - 8) = 0
x = 0 или x² - 8 = 0
x² = 8
x = ±2√2
Ответ: x = -2√2; 0; 2√2.

x³ - 12x = 0
x(x² - 12) = 0
x = 0 или x² - 12 = 0
x² = 12
x = ±2√3
Ответ: x = -2√3; 0; 2√3.

2x⁴ - x² = 0
x²(2x² - 1) = 0
x² = 0 или 2x² = 1
x² = 1/2
x = ±√2/2
Ответ: x = -√2/2; 0; √2/2.

3x³ - x = 0
x(3x² - 1) = 0
x = 0 или 3x² = 1
x² = 1/3
x = ±√3/3
Ответ: x = -√3/3; 0; √3/3.

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