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Grishanya222
@Grishanya222
August 2022
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Реши уравнение x4−10x2+25=0
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oganesbagoyan
Verified answer
Реши уравнение x4−10x2+25=0
============================
x
⁴ -10x
² +25 =0 ;
(x
² -5)
² =0 ;
x² -5 = 0; * * * x² = 5 ⇒ x = ± √5. * * *
(x + √5)(x -
√5) =0 ; * * *
[
x =
- √5 ;
x =
√5
x₁ = -
√5 ;
x₂ = √5 .
ответ : { - √5 ; √5 }.
11 votes
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Answers & Comments
Verified answer
Реши уравнение x4−10x2+25=0============================
x⁴ -10x² +25 =0 ;
(x² -5)² =0 ;
x² -5 = 0; * * * x² = 5 ⇒ x = ± √5. * * *
(x + √5)(x -√5) =0 ; * * * [ x = - √5 ; x = √5
x₁ = - √5 ;
x₂ = √5 .
ответ : { - √5 ; √5 }.