Question

tim các số nguyên x thoả mãn: (x+2014)^2=64.(x+2007)^3

Answer 1

\(\left(x+2014\right)^2=64\left(X+2007\right)^3\)

Đặt x + 2007 = a ta được

\(\Leftrightarrow\left(a+7\right)^2=64a^3\)

\(\Leftrightarrow64a^3-a^2-14a-49=0\)

\(\Leftrightarrow\left(64a^3-64a^2\right)+\left(63a^2-63a\right)+\left(49a-49\right)=0\)

\(\Leftrightarrow\left(a-1\right)\left(64a^2+63a+49\right)=0\)

\(\Leftrightarrow a=1\)

\(\Leftrightarrow x+2007=1\)

\(\Leftrightarrow\)x = - 2006

Answer 2

sai de roi 2007 chu ko phai la 2017 sao ma dua nao cung viet sai de giong minh