[1; 4) решение задания приложено
Вот: (нужно набрать 20 символов, поэтому .....................)
2sin4x≤√2
sin4x≤√2/2
3π/4+2πn≤4x≤9π/4+2πn
3π/16+πn/2≤x≤9π/16+πn/2
x∈[3π/16+πn/2;9π/16+πn/2,n∈z]
1)а) х²+4х+1= х²+2х+2х+1=(х+1)²+2х
б) 3b²-12b+11=2b²+b²-6b+9-6b+2=2b²+(b-3) ²+2
<span>в) у</span>²<span>+2у=
у</span>²<span>+2у+1-1= (у+1)</span>²<span>-1</span>
2) а)-b²+6b-8= -(b²-6b+8)= -(b²-4b+2-2b+6)= -( (b<span>-2)</span>²<span>-2</span>b+6)= 2b-6-(b<span>-2)</span><span>²</span>
<span>б)1/4у</span>²<span>-у+2=1/4у</span>²<span>-у+1+1=(1/2у-1) </span>²<span>+1</span>