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ФенрирСивый
@ФенрирСивый
July 2022
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Решите уравнение, помогите, пожалуйста
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oganesbagoyan
Verified answer
5/( (x² -3)-2x) ) +21/( (x² -3)+2x) ) =9/( (x²+3) -4x) ) -35/( (x² +3) +4x) ) ;
x¹ ² ³ ⁴ ⁵
x⁴ +12x³ +32x² -
8x -4 =0 ;
x
⁴ +12x³ +36x² - 4x
² -8x -4 =0 ;
x²(x² +2*x*6+6²) -4(x² +2*x*1+1) =0 ;
( x(x +6) )²) -(2(x+1) )² =0 ;
( x(x +6) -2(x+1) )* ( x(x
+6) +2(x+1) )
=0 ;
(x² +4x -2)(x² +8x +2) =0 ⇔ [x² +4x -2 =0 ; x² +8x +2 =0.(совокупность)
----
a)
x² +4x -2 =0 ;
x₁ = -2-√6 ; x₂ =
-2+√6 .
b)
x² +8x +2 =0 ;
x₃ = -4 -√17 ;
x
₄
= - 4 +√17 .
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Answers & Comments
Verified answer
5/( (x² -3)-2x) ) +21/( (x² -3)+2x) ) =9/( (x²+3) -4x) ) -35/( (x² +3) +4x) ) ;x¹ ² ³ ⁴ ⁵
x⁴ +12x³ +32x² - 8x -4 =0 ;
x⁴ +12x³ +36x² - 4x² -8x -4 =0 ;
x²(x² +2*x*6+6²) -4(x² +2*x*1+1) =0 ;
( x(x +6) )²) -(2(x+1) )² =0 ;
( x(x +6) -2(x+1) )* ( x(x +6) +2(x+1) ) =0 ;
(x² +4x -2)(x² +8x +2) =0 ⇔ [x² +4x -2 =0 ; x² +8x +2 =0.(совокупность)
----
a)
x² +4x -2 =0 ;
x₁ = -2-√6 ; x₂ = -2+√6 .
b)
x² +8x +2 =0 ;
x₃ = -4 -√17 ;
x₄ = - 4 +√17 .