已知:2X^2-11XY+15Y^2=0 求证:X=3Y,2X=5Y.
问题描述:
已知:2X^2-11XY+15Y^2=0 求证:X=3Y,2X=5Y.
答
已知:2X^2-11XY+15Y^2=0 求证:X=3Y,2X=5Y.
证明:
2X^2-11XY+15Y^2=0
(X-3Y)(2X-5Y)=0
X-3Y=0 2X-5Y=0
∴X=3Y 2X=5Y.