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Arlanww
@Arlanww
July 2022
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6sin^2 x + sin x-1=0
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scTFEKO
6sin²x+sinx-1=0
Замена:sinx=t,t[-1;1]
6t²+t-1=0
D=1+24=25=5²
t1=(-1+5)/12=4/12=1/3
t2=(-1-5)/12=-6/12=-1/2
1)sinx=-1/2
x1=-π/6+2πk,k-Z x2=-5π/6+2πn,n-Z
2)sinx=1/3
x3=(-1)^m*arcsin1/3+πm,m-Z
2 votes
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Answers & Comments
Замена:sinx=t,t[-1;1]
6t²+t-1=0
D=1+24=25=5²
t1=(-1+5)/12=4/12=1/3
t2=(-1-5)/12=-6/12=-1/2
1)sinx=-1/2
x1=-π/6+2πk,k-Z x2=-5π/6+2πn,n-Z
2)sinx=1/3
x3=(-1)^m*arcsin1/3+πm,m-Z