Пусть x^2 + 2x = t, тогда
t^2 - 2t - 3 = 0
D = 4 + 4*3 = 4 + 12 = 16 = 4^2
t1 =( 2 + 4)/2 = 6/2 = 3 ;
t2 = ( 2 - 4)/2 = - 2/2 = - 1
Имеем 2 уравнения
#1
x^2 + 2x = 3
x^2 + 2x - 3 = 0
x1 = ( - 2 + 4)/2 = 2/2 = 1;
x2 = ( - 2 - 4)/2 = - 3
#2
x^2 + 2x + 1 = 0
(x + 1)^2 = 0
x = - 1
Ответ:
- 3; - 1; 1
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Answers & Comments
Пусть x^2 + 2x = t, тогда
t^2 - 2t - 3 = 0
D = 4 + 4*3 = 4 + 12 = 16 = 4^2
t1 =( 2 + 4)/2 = 6/2 = 3 ;
t2 = ( 2 - 4)/2 = - 2/2 = - 1
Имеем 2 уравнения
#1
x^2 + 2x = 3
x^2 + 2x - 3 = 0
D = 4 + 4*3 = 4 + 12 = 16 = 4^2
x1 = ( - 2 + 4)/2 = 2/2 = 1;
x2 = ( - 2 - 4)/2 = - 3
#2
x^2 + 2x + 1 = 0
(x + 1)^2 = 0
x = - 1
Ответ:
- 3; - 1; 1