1
2(√2/2sinx+√2/2cosx)=1
sin(x+π/4)=1/2
x+π/4=π/6+2πn U x+π/4=5π/6+2πn
x=-π/4+π/6+2πn U x=-π/4+5π/6+2πn
x=-π/12+2πn,n∈z U x=7π/12+2πn,n∈z
2
2(√2/2sinx-√2/2cosx)=1
sin(x-π/4)=1/2
x-π/4=π/6+2πn U x-π/4=5π/6+2πn
x=π/4+π/6+2πn U x=π/4+5π/6+2πn
x=5π/12+2πn,n∈z U x=13π/12+2πn,n∈z
3
√2cosπ/4cosx+√2sinπ/4sinx-cosx=0,5
√2*1/√2*cosx+√2*1/√2*sinx-cosx=0,5
cosx+sinx-cosx=1/2
sinx=1/2
x=π/6+2πn,n∈z U x=5π/6+2πn,n∈z
14.15-11.45=2.30 минут был включен принтер
80:2=40 cнимков в 30 минут
80+80+40=200 снимков
1)√x+x+5=11
√x=6-x
x=36-12x+x²
x²-13x+36=0
D=169-144=25
x1=(13-5)/2=4
x2=(13+5)/2=9
2)√(x+4)+x-6=0
√x+4=6-x
x+4=36-12x+x²
x²-13x+32=0
D=169-128=41
x1=(13-√41)/2
x2=(13+√41)/2
3)√x-2=x-4
x-2=x²-8x+16
x²-9x+18=0
D=81-72=9
x1=(9-3)/2=3
x2=(9+3)/2=6
4)√3x+1+3x+1=2
√3x+1=1-3x
3x+1=1-6x+9x²
9x²-9x=0
9x(x-1)=0
x1=0
x2=1-пост корень
5)√x²+5+x²=2
x²=a
a+5=4-4a+a²
a²-5a-1=0
D=29
x1=√((5-√29)/2)
x2=√((5+√29)/2)
6)√x²+3+x²+1=0
x²=a
a+3=1+a+a²
a=+-√2
x=+-√√2