tim cac so nguyen a;b;c thoa man dong thoi 3 dang thuc :a.b.c+a=2011;a.b.c+b=2013;a.b.c+c=2015

Tim tat ca bo ba so nguyen (a,b,c) thoa man

a^3(b-c)+b^3(c-a) + c^3(a-b)=1964^2013

tim tat ca cc so nguyen n thoa man cac dang thuc sau 25ⁿ/5ⁿ = 5³ⁿ , ta co

A n=3

B n=-1

C n=1

D n=-3

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).

Tim 3 so nguyen to khac nhau a,b,c thoa man: a.b.c=3(a+b+c)

Giup mih nha minh dang can gap

tim tat ca cac so nguyen to a,b,c co the bang nhau thoa man abc<ab+bc+ca chung minh rang neu b la so nguyen to >3 thi (b+1)(b-1) chia het cho 24

tim cac so nguyen a,b,c thoa man dong thoi 3 dang thuc

a*b*c+a=1333;a*b*c+b=1335;a*b*c+c=1341

tim tat ca a;b thoa man :axb=3x(b-a)

voi a,b,c,d la cac so duong thoa man a*b = c*d = 1. Chung minh bat dang thuc ( a+b )*( c+d ) + 4 >= 2( a+b+c+d )