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sanchos228
@sanchos228
August 2022
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Помогите решить уравнение x(x^2+2x+1)=2(x+1)
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ShirokovP
Verified answer
X (x + 1)^2 - 2(x + 1) = 0
Выносим общий множитель за скобки
(x + 1) (x (x + 1) - 2) = 0
( x + 1) (x^2 + x - 2) = 0
1)
x + 1 = 0
x = - 1 ;
2)
x^2 + x - 2 = 0
D = 1 + 4*2 = 9
x1 = ( - 1 + 3)/2 = 2/2 = 1;
x2 = ( - 1 - 3)/2 = - 4/2 = - 2;
Ответ
- 2; - 1; 1
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sanchos228
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Answers & Comments
Verified answer
X (x + 1)^2 - 2(x + 1) = 0Выносим общий множитель за скобки
(x + 1) (x (x + 1) - 2) = 0
( x + 1) (x^2 + x - 2) = 0
1)
x + 1 = 0
x = - 1 ;
2)
x^2 + x - 2 = 0
D = 1 + 4*2 = 9
x1 = ( - 1 + 3)/2 = 2/2 = 1;
x2 = ( - 1 - 3)/2 = - 4/2 = - 2;
Ответ
- 2; - 1; 1