sin(x/2- π/6)+1=0
1 = sin(π/2)
sin(x/2 - π/6) + sin(π/2) = 0
sin(x/2 - π/6) = -sin(π/2)
sin(x/2 - π/6) = sin(-π/2)
x/2 - π/6 = (3x - π)/6
(3x - π)/6 = -π/2
3x - π + 3π = 0
3x +2π = 0
3x = -2π
x = -2π/3
Ответ: -2π/3
ОДЗ: х не равно +-5
Умножим в левой части первую дробь на х-5, а вторую - на х+5
Ответ: х=2.5
9x^2 - 12x + 4 - ( 12x + 9x^2 - 16 - 12x) = 0
9x^2 - 12x + 4 - 9x^2 + 16 = 0
- 12x = - 20
12x= 20
x = 20/12
x = 5/3 = 1 2/3
m²*m m
--------- = --------
2m² 2
m²+m m(m+1) m+1
--------- = ---------------- = --------------
2m² 2m² 2m
m²-m m(m-1) 1
------------ = --------------- = -----------
m³-m² m²(m-1) m
m²-4 m²-2² (m-2)(m+2) m+2
------------ = --------------- = --------------------- = ------------
m²-2m m(m-2) m(m-2) m
3m-9 3(m-3) 3
-------------- = ----------------- = - -------
15-5m -5(m-3) 5