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linogrand
@linogrand
July 2022
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Помогите пожалуйста,найдите корни уравнения x^2-16x^4=0
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Energazer
16x^4=0
x^4=16
x=2
т.к. 2^2=4
2^3=8
2^4=16
0 votes
Thanks 0
monkeyme
Бред
monkeyme
X² - 16x⁴ = 0
Пусть x² = t, тогда t - 16t² = 0
16t² - t = 0
t (16t - 1) = 0
t₁ = 0 или 16t - 1 = 0
16t = 1
t = 1/16
1°) x² = 0 2°) x² = 1/16
x₁ = 0 x₂,₃ =
0,25
Ответ: -0,25; 0; 0,25
0 votes
Thanks 1
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Answers & Comments
x^4=16
x=2
т.к. 2^2=4
2^3=8
2^4=16
Пусть x² = t, тогда t - 16t² = 0
16t² - t = 0
t (16t - 1) = 0
t₁ = 0 или 16t - 1 = 0
16t = 1
t = 1/16
1°) x² = 0 2°) x² = 1/16
x₁ = 0 x₂,₃ = 0,25
Ответ: -0,25; 0; 0,25