Ответы на вопрос:
80х-40=160+40х 80х-40х=160+40 40х=200 х=5 80*5-40=160+40*5 400-40=160+200 360=360 верно
1. sin2x> 1/2 2x∈(π/6+2πn; 5π/6+2πn) x∈(π/12+πn; 5π/12+πn) n∈z 2. tgx> -1 (-π/4+πn; π/2+πn) n∈z 3. ctgx=√3/3 x=π/3+πn n∈z 4 sinx/3= -√2/2 x/3=(-1)ⁿ⁺¹π/4+πn x= (-1)ⁿ⁺¹3π/4+3πn n∈z 5. x-π/2=π/3+πn x=π/2+π/3+πn n∈z 6. ctgx=z 7z²+2z-5=0 d=4+140=144 √144=12 z1=1/14[-2-12]=-1 z2=1/14[-2+12]=10/14=5/7 ctgx=-1 x=3π/4+πn n∈z ctgx=5/7 x=arcctg(5/7)+πn n∈z 7. cos9x-cosx=-2sin5xsin4x=0 sin5x=0 5x=πn x=πn/5 sin4x=0 x=πn/4 n∈z 8. tgx=z 2z²+3z-2=0 d=9+16=25 √25=5 z1=1/4[-3-5]=-2 z2=1/4[-3+5]=0.5 tgx=-2 x=arctg(-2)+πn tgx=0.5 x=arctg(0.5)+πn n∈z
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