若m满足关系式根号2X+5Y-1-M+根号3X+2Y-M=根号X-Y-2*根号2+Y-X,求M的值

问题描述:

若m满足关系式根号2X+5Y-1-M+根号3X+2Y-M=根号X-Y-2*根号2+Y-X,求M的值

√(2X+5Y-1-M)+√(3X+2Y-M)=√(X-Y-2)*√(2+Y-X)等式若有意义需根号下式子非负,等式右边即 { x-y-2≥0 {2+y-x≥0 ==> x-y-2≤0∴x-y-2=0∴原式即√(2X+5Y-1-M)+√(3X+2Y-M)=0{2x+5y-1-M=0 ①{3x+2y-M=0 ②{x-y-2=0 ...