p =456 9283 +1 =4569284 - 100 =4569184
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\(B=-\dfrac{1}{2}.\left(x-1\right)^{600}-5\left|y+1\right|-100\)
Ta có:
\(\left(x-1\right)^{600}\ge0\) với mọi \(x\in R\)
\(\Rightarrow-\dfrac{1}{2}.\left(x-1\right)^{600}\le0\) với mọi \(x\in R\)
\(\left|y+1\right|\ge0\) với mọi \(y\in R\)
\(\Rightarrow-5\left|y+1\right|\le0\) với mọi \(y\in R\)
\(\Rightarrow-\dfrac{1}{2}.\left(x-1\right)^{600}-5\left|y+1\right|\le0\) với mọi \(x,y\in R\)
\(\Rightarrow-\dfrac{1}{2}.\left(x-1\right)^{600}-5\left|y+1\right|-100\le-100\) với mọi \(x,y\in R\)
Vậy GTLN của B là -100 khi \(x=1;y=-1\)
