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chebado
@chebado
July 2022
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Решите неравенство (x+4)⁴−13(x+4)²+36<0
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Seyitmyradova78
(x+4)^2= t
t^2 -13t+36<0
D= ( -13)^2 -4*36=169-144=25
t1=(13 +5)/2=18/2=9
t2=(13-5)/2=8/2=4
(x+4)^2< 9 (x+4)^2<9
x+4<3 ; (x+4)< -3
x1<-1 ; x2< -7
(x+4)^2<4
x+4< 2 ; x+4< -2
x< 2-4 ; x< -2 -4
x3 <-2 ; x4< -6
ответ ( -7;-6) U(-2; -1)
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Answers & Comments
t^2 -13t+36<0
D= ( -13)^2 -4*36=169-144=25
t1=(13 +5)/2=18/2=9
t2=(13-5)/2=8/2=4
(x+4)^2< 9 (x+4)^2<9
x+4<3 ; (x+4)< -3
x1<-1 ; x2< -7
(x+4)^2<4
x+4< 2 ; x+4< -2
x< 2-4 ; x< -2 -4
x3 <-2 ; x4< -6
ответ ( -7;-6) U(-2; -1)