已知x,y满足√4x-5y+√x-y-1=0,则√xy-√x/y的值为多少?我算出了x=5,y=4,但后面不知怎么算

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已知x,y满足√4x-5y+√x-y-1=0,则√xy-√x/y的值为多少?我算出了x=5,y=4,但后面不知怎么算

已知x,y满足√4x-5y+√x-y-1=0,则√xy-√x/y的值为多少?我算出了x=5,y=4,但后面不知怎么算
已知x,y满足√4x-5y+√x-y-1=0,则√xy-√x/y的值为多少?我算出了x=5,y=4,但后面不知怎么算

已知x,y满足√4x-5y+√x-y-1=0,则√xy-√x/y的值为多少?我算出了x=5,y=4,但后面不知怎么算
原式=√(5×4)-√(5/4)
=√(5×2²)-√(5/2²)
=2√5-√5/2
=(2-1/2)√5
=3(√5)/2

X=5、y=4则√xy-√x/y=√20-√5/4=2√5-1/2√5=3/2√5