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

co ton tai hai khong cac so tu nhien a,b c thoa man dong thoi cac dang thuc sau :abc + a = 999;abc+c=9

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 a,b,c la cac so nguyen thoa man cac dieu kien: a+b-c=15; a-b+c=21; -a+b+c=-2015. Tim cac so nguyen do.

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 cac so nguyen duong a,b,c thoa man a+b+c=91 va b^2=a*c

1. Cho a,b,c,d la cac so nguyen thoa man \(a^2=b^2+c^2+d^2\)

chung minh rang a.b.c.d + 2015 viet duoc duoi dang hieu cua 2 so chinh phuong.

2. Cho a,b la cac so duong thoa man dieu kien a+b=1. tim gia tri nho nhat cua bieu thuc

\(P=\frac{2+a}{\sqrt{2-a}}+\frac{2+b}{\sqrt{2-b}}\)

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

Tim cac gia tri a nguyen thoa man dang thuc:a^3+2a^2-5a-6=0