1)
\(\left|2x-27\right|^{2011}\ge0\\ \left(3y+10\right)^{2012}\ge0\\ \text{Đ}\text{ể}\left|2x-27\right|^{2011}+\left(3y+10\right)^{2012}=0\\ \Leftrightarrow\left|2x-27\right|^{2011}=\left(3y+10\right)^{2012}=0\\ \Rightarrow x=13,5;y=-\frac{13}{3}\)
2) \(H=\left|x-3\right|+\left|4+x\right|\\ tac\text{ó}:\left|x-3\right|\ge0\\ \left|4+x\right|\ge0\)
Mà |x-3| khác |4+x| ; |x-3|<|4+x|
=>|x-3|=0
=>x=3
Vậy GTNN của H=0+7=7
3) \(P=\frac{3n+2}{n-1}=\frac{3\left(n-1\right)+5}{n-1}=3+\frac{5}{n-1}\)
P nguyên khi \(\frac{5}{n-1}nguy\text{ê}n\)
=> \(5⋮n-1\\ \Rightarrow n-1\in\text{Ư}\left(5\right)=\left\{1;5;-1;-5\right\}\\ \Rightarrow b\in\left\{2;6;0;-4\right\}\)
Chúc bạn học tốt!!
