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emulik1996
@emulik1996
July 2022
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решите уровнение пожалуйста
y=2x^3-8x^2+8x
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G4rp1x
Y=2x³ - 8x² + 8x
y= 2x(x² - 4x +4)
f(y)= 2x(x² - 4x + 4)
2x(x² - 4x + 4)=0
==============================
2x = 0 | x² - 4x + 4 = 0
x₁ = 0 | D= 16 - 16 = 0 (1 корень)
| x₂= (4 +- 0) / 2
| x₂= 2
==============================
y₁=2*0³ - 8*0² + 8*0 = 0
y₂ = 2*2³ - 8*2² + 8*2 = 16 - 32 + 16 = 0
2 votes
Thanks 1
G4rp1x
Стойте, забыл дописать значения y
emulik1996
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G4rp1x
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Answers & Comments
y= 2x(x² - 4x +4)
f(y)= 2x(x² - 4x + 4)
2x(x² - 4x + 4)=0
==============================
2x = 0 | x² - 4x + 4 = 0
x₁ = 0 | D= 16 - 16 = 0 (1 корень)
| x₂= (4 +- 0) / 2
| x₂= 2
==============================
y₁=2*0³ - 8*0² + 8*0 = 0
y₂ = 2*2³ - 8*2² + 8*2 = 16 - 32 + 16 = 0