\(20y^2-6xy=150-15x\)
\(\Leftrightarrow6xy-15x=20y^2-150\)
\(\Leftrightarrow3x\left(2y-5\right)=5\left(4y^2-25\right)-25\)
\(\Leftrightarrow5\left(4y^2-25\right)-3x\left(2y-5\right)=25\)
\(\Leftrightarrow5\left(2y-5\right)\left(2y+5\right)-3x\left(2y-5\right)=25\)
\(\Leftrightarrow\left(2y-5\right)\left[5\left(2y+5\right)-3x\right]=25\)
\(\Leftrightarrow\left(2y-5\right)\left(10y+25-3x\right)=25\)
Xét trường hợp:
\(\left(1\right)\left\{{}\begin{matrix}2y-5=1\\10y+25-3x=25\end{matrix}\right.\)
\(\left(2\right)\left\{{}\begin{matrix}2y-5=25\\10y+25-3x=1\end{matrix}\right.\)
\(\left(3\right)\left\{{}\begin{matrix}2y-5=-1\\10y+25-3x=-25\end{matrix}\right.\)
\(\left(4\right)\left\{{}\begin{matrix}2y-5=-25\\10y+25-3x=-1\end{matrix}\right.\)
\(\left(5\right)\left\{{}\begin{matrix}2y-5=5\\10y+25-3x=5\end{matrix}\right.\)
\(\left(6\right)\left\{{}\begin{matrix}2y-5=-5\\10y+25-3x=-5\end{matrix}\right.\)
P/s: Phiền bạn tự tính nghiệm rồi nhận hoặc loại nhé! Máy lỗi không hiển thị được. Srr...
