36⁻³ 6⁴ ( 6²)⁻³ 6⁴ 6⁻⁶ *6⁴ 6⁻⁶⁺⁴ 6⁻² 6³
------ * ------- = ---------- * ------ = ------------- = --------- = ------- = -------- = 6³⁻²=6¹=6
216⁻⁴ 6⁹ ( 6³)⁻⁴ 6⁹ 6⁻¹² *6⁹ 6⁻¹²⁺⁹ 6⁻³ 6²
х⁻²+у⁻² х⁻²у⁻² + х⁻⁴ х⁻² +у⁻² х⁻⁴ х⁻⁴(у⁻²+х⁻²)
----------- : ---------------- = -------------- * ---------------- = ----------------- = 1
х⁻² х⁻⁴ х⁻² х⁻²(у⁻²+х⁻²) х⁻⁴(у⁻²+х⁻²)
№2:
2(x-2) = 3(x-3)
2x-4 = 3x-9
3x-2x = 9-4
x = 5
(х-а)(х-в)=х²-(а+в)х+ав
х²-ах-вх+ав=х²-(а+в)х+ав
х²-(а+в)х+ав=х²-(а+в)х+ав - тождество доказано.
1-sin2x+sinx=cosx
<span>a) cosx-sinx=0
1-tgx=0
tgx=1
x1=π/4+πn Приравниваем каждый множитель к нулю<span>1-sin2x+sinx=cosx</span><span>б) cosx-sinx-1=0</span><span> </span><span>cos²(x/2)-sin²(x/2)-2sin(x/2)cos(x/2)-cos²(x/2)-sin²(x/2)=0
-2sin²(x/2)-2sin(x/2)cos(x/2)=0
2sin(x/2)(sin(x/2)-cos(x/2))=0
sin(x/2)=0
x/2=πn
x2=2πn
sin(x/2)-cos(x/2)=0
tg(x/2)=1
x/2=π/4+πn
x3=π/2+2πn</span>1-sin2x=cosx-sinx
(cosx-sinx)²=cosx-sinx
(cosx-sinx)²-(cosx-sinx )=0
(cosx-sinx)(cosx-sinx-1)=0</span>