rut gon \(y=\frac{2x+2}{\sqrt{x}}+\frac{x\sqrt{x}-1}{x-\sqrt{x}}-\frac{x^2+\sqrt{x}}{x\sqrt{x}+x}\)
cmr voi moi gia tri cua x de Y co nghia thi bieu thuc \(\frac{7}{y}\)chi nhan moi gia tri nguyen
cho he phuong trinh mx-y=m2 va 2x + my= m2 + 2m + 2
a, chung minh rang he phuonh trinh luon co 2 nghiem duy nhat voi moi m
b, tim m de bieu thuc: A = x2 + 3y + 4 nhan gia tri nho nhat
c, khi he co nghien duy nhat (x;y) chung minh M (x;y) luon nam tren duong thang co dinh
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 bieu thuc P = \(\frac{x-\sqrt{x}}{x+\sqrt{x}+1}\) --\(\frac{2x+\sqrt{x}}{\sqrt{x}}\)+\(\frac{2\left(x-1\right)}{\sqrt{x}-1}\)
a) rut gon P
b) tim x de Q=\(\frac{2\sqrt{x}}{P}\)nhan gia tri nguyen
tim x thuoc N de bieu thuc sau co gia tri la so tu nhien: Q=\(\dfrac{\text{x}+1}{\text{x}-\sqrt{\text{x}}+1}\)
(x^4-5x^2+4)\(x^4-10x^2+9) tim so cac gia tri cua x de bieu thuc nguyen
cmr khong co da thuc f(x) nao he so nguyen co the co gia tri f(7)=5 va f(15)=9
cho ham so y=(m+1)*x+m+1
A) Tìm điêm codinh ma duong thang luon đi qua voi moi gia tri cua m
cho A = 5 / can bac 2 cua x - 3
tin x thuoc z de A co gia tri nguyen
căn bậc 2 của x rồi trừ cho 3