Các câu hỏi tương tự
gia su a,b la 2 so huu ti duong va khong phai la binh phuong cua mot so huu ti
chung minh rang :neu x,y la hai so huu ti sao cho \(m=x\sqrt{a}+y\sqrt{b}\)la so huu ti thi m=0
a)Tim tat ca cac so nguyen duong x, y , z thoa man: \(\frac{x+y\sqrt{2013}}{y+z\sqrt{2013}}\)la so huu ti, dong thoi x2 + y2+ z2 la so nguyen to.
b) Tim so tu nhien x, y thoa man: x(1+x+x2) = y(y-1).
cho 3 so huu ti a;b;c thoa man 1/a+1/b=1/c
c/m \(\sqrt{a^2+b^2+c^2}\) la so huu ti
cho 3 so huu ti phan biet c/m
\(\sqrt{\frac{1}{\left(x-4\right)^2}+\frac{1}{\left(y-z\right)^2}+\frac{1}{\left(z-x\right)^2}}\) la so huu ti
chứng minh \(\sqrt{\frac{1}{\left(a-b^2\right)}+\frac{1}{\left(b-c\right)^2}-\frac{1}{\left(c-a\right)^2}}\)la mot so huu ti
cho x y la hai so nguyen duong khac nhau thoa man \(2x^2+x=3y^2+y\)
chung minh\(\frac{x-y}{2x+2y+1}\)la phan so toi gian
tim so nguyen x sao cho \(\sqrt{x^2+7x}\)la so huu ti
cho p thuoc z chung minh rang (p+2)x2-2x+p-p3=0 luon co nghiem la so huu ti
Cho \(B=\frac{x^3}{1+Y}+\frac{Y^3}{1+x}\) trong do x, y la cac so duong thoa man dieu kien xy = 1. CMR \(B\ge1\)