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noizemc158
@noizemc158
August 2022
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помогите решить уравнение cos^4x-cos2x=1
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mikael2
Verified answer
Cos²2x-(1-cos²2x)-cos2x=1
2cos²2x-cos2x-2=0
D=1+16
cos2x=0.5(-1+√17)>1
cos2x=0.5(-1-√17<-1
решений нет
2x=0+πk
x=πk/2 k∈Z
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Answers & Comments
Verified answer
Cos²2x-(1-cos²2x)-cos2x=12cos²2x-cos2x-2=0
D=1+16
cos2x=0.5(-1+√17)>1
cos2x=0.5(-1-√17<-1
решений нет
2x=0+πk
x=πk/2 k∈Z