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Maksimys232
@Maksimys232
July 2022
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Помогите решить 2 уравненя
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sedinalana
Verified answer
1
√3sin2x=cos2x
2(√3/2*sin2x-1/2*cos2x)=0
2sin(2x-π/6)=0
sin(2x-π/6)=0
2x-π/6=πn
2x=π/6+πn
x=π/12+πn/2,n∈z
x=-π/3;π/6;2π/3;7π/6
2
ОДЗ
5x-8≥0
x≥1,6
x∈[1,6;∞)
[5x-8=0⇒x=1,6
[4x-x²-3=0⇒x²-4x+3=0⇒x1+x2=4 U x2*x2=3⇒x=3 U x=1∉ОДЗ
Ответ х=3,х=1,6
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Answers & Comments
Verified answer
1√3sin2x=cos2x
2(√3/2*sin2x-1/2*cos2x)=0
2sin(2x-π/6)=0
sin(2x-π/6)=0
2x-π/6=πn
2x=π/6+πn
x=π/12+πn/2,n∈z
x=-π/3;π/6;2π/3;7π/6
2
ОДЗ
5x-8≥0
x≥1,6
x∈[1,6;∞)
[5x-8=0⇒x=1,6
[4x-x²-3=0⇒x²-4x+3=0⇒x1+x2=4 U x2*x2=3⇒x=3 U x=1∉ОДЗ
Ответ х=3,х=1,6