Các câu hỏi tương tự
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).
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
cho x;y la hai so huu ti thoa man \(x^3+y^3=2x^2y^2\)cmr \(\sqrt{1-\frac{1}{xy}}\)la mot so huu ti
Tim cac gia tri nguyen duong cua m de \(\sqrt{m^2+m+23}\) 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
cho truoc so huu ty m sao cho\(\sqrt[3]{m}\) la so vo ty ;Tim cac so huu ty a;b;c sao cho:\(a\sqrt[3]{m^2}+b\sqrt[3]{m}+c=0\)
Tim cac so thuc x sao cho x+\(\sqrt{2017}\)va \(\frac{16}{x}-\sqrt{2017}\)deu la so nguyen to
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
tim tat ca so nguyen (x,y) sao cho \(\frac{x^3+x}{xy-1}\)la so nguyen duong