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koksforever
@koksforever
July 2022
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(x-1)^4-2(x-1)^2-3=0
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ShirokovP
Verified answer
(x - 1)^2 = t ==>
t^2 - 2t - 3 = 0
(t - 3) (t + 1) = 0
t = 3;
t = - 1
(x - 1)^2 = 3
(x - 1)^2 - √3^2 = 0
(x -1 - √3) (x - 1 + √3) = 0
x1 = 1 + √3;
x2 = 1 - √3
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Answers & Comments
Verified answer
(x - 1)^2 = t ==>t^2 - 2t - 3 = 0
(t - 3) (t + 1) = 0
t = 3;
t = - 1
(x - 1)^2 = 3
(x - 1)^2 - √3^2 = 0
(x -1 - √3) (x - 1 + √3) = 0
x1 = 1 + √3;
x2 = 1 - √3