Question

1)4^x+2^2x+4-4*2^2xбольше или равно 52
^-это степень
2)sin(pi/3-x)=1/2

Answer 1

2^2x+2^(2x+4)-2^(2x+2)≥52
2^2x*(1+16-4)≥52
2^2x*13≥52
2^2x≥4
2x≥2
x≥1
x∈[1;∞)

sin(π/3-x)=1/2
cos(x+π/6)=1/2
x+π/6=-π/3+2πn U x+π/6=π/3+2πn
x=-π/6-π/3+2πn U -π/6+π/3+2πn
x=-π/2+2πn U x=π/6+2πn