tim x thuoc N de bieu thuc sau co gia tri la so tu nhien: Q=\(\dfrac{\text{x}+1}{\text{x}-\sqrt{\text{x}}+1}\)
\(M=\left(\frac{\sqrt{x}+2}{x+2\sqrt{x}+1}-\frac{\sqrt{x}-2}{x-1}\right)N=\frac{\sqrt{x}+1}{\sqrt{x}}\) voi x>0 va x khac 1
a) tim gia tri bieu thuc cua N khi x = 25
b) rut gon S = M.N
c) tim m de S<-1
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
Cho \(P=\frac{x+\sqrt{x}+1}{2}\) .
Tim gia tri cua m de \(\frac{1}{P}>m+\sqrt{x}\)nghhiem dung voi moi x>1.
Cho A \(\left(\frac{x-\sqrt{x}}{\sqrt{x}-1}+\frac{\sqrt{x}+1}{X+\sqrt{X}}\right):\frac{\sqrt{X}+1}{X}\)
a)Tìm dk cua x de A co nghia
b)Rut gon A
c)Tim gia tri nho nhat cua A
tim gia tri cua x thuoc Z de cac bieu thuc sau co gia tri nguyen :a) \(\frac{\sqrt{x}+5}{\sqrt{x}+1}\)
b) \(\frac{\sqrt{x}+2}{\sqrt{x}-2}\)
cho A = \(\frac{3}{\sqrt{x}-2}\)
tim cac gia tri cua x de A co gia tri nguyen
tim m de p la so tu nhiên p=\(\frac{\sqrt{x}+1}{\sqrt{x}-1}\)
cho m = \(\frac{-3}{\sqrt{x}+3}\) tim gia tri nho nhat cua m
