tim gia tri lon nhat cua bieu thuc\(\frac{1}{3x-2\sqrt{6x}+5}\)
tim gia tri lon nhat cua \(\frac{yz\sqrt{x-1}+xz\sqrt{y-2}+xy\sqrt{z-3}}{xyz}\)
tim gia tri lon nhat cua \(\frac{\sqrt{x-2001}}{x+2}+\frac{\sqrt{x-2002}}{x}\)
Tim gia tri lon nhat va gia tri nho nhat cua bieu thuc sau: A=\(\frac{x+1}{x^2+x+1}\)
cho A =\(\frac{-\sqrt{x}}{x+\sqrt{x}+1}\)
Tim gia tri lon nhat cua Q = \(\frac{2}{P}+x\)
P=\(\frac{3\left(x+\sqrt{x}-3\right)}{x+\sqrt{x}-2}+\frac{\sqrt{x}+3}{\sqrt{x}+2}+\frac{\sqrt{x}-2}{1-\sqrt{x}}\\ \)
a, rut gon
b, tim x de P<\(\frac{15}{4}\)
c, tim gia tri lon nhat cua P
Tim gia tri nho nhat va lon nhat cua bieu thuc sau: \(p=\frac{4x+3}{x^2+1}\)
tim gia tri lon nhat cua P=2x+\(\sqrt{1-4x-x^2}\)
cho bieu thuc \(P=\left(\frac{\sqrt{x}-2}{x-1}-\frac{\sqrt{x+2}}{x-2\sqrt{x}+1}\right)\cdot\frac{\left(1-x\right)^2}{2}\)
a) rut gon P
b) tim gia tri lon nhat cua P