已知3x-4y=0,则x^2-y^2/x^2+y^2

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已知3x-4y=0,则x^2-y^2/x^2+y^2

已知3x-4y=0,则x^2-y^2/x^2+y^2
已知3x-4y=0,则x^2-y^2/x^2+y^2

已知3x-4y=0,则x^2-y^2/x^2+y^2
3x-4y=0
3x=4y
y=3/4x
x^2-y^2/x^2+y^2
=[x²-(3/4)x²]/[x²+(3/4x)²]
=(x²-9/16x²)/(x²+9/16x²)
=7/25
如追加其它问题,

3x-4y=0
x=4y/3
x^2-y^2/x^2+y^2
=(16y^2/9-y^2)/(16y^2/9+y^2)
=7y^2/(25y^2)
=7/25

x=4y/3
x^2-y^2/x^2+y^2
=(4y/3)^2-y^2/(4y/3)^2+y^2
=(7/9y^2)/(25/9y^2)
=7/25

3x-4y=0
3x=4y
x=4y/3
x^2-y^2/x^2+y^2
=(16y^2/9-y^2)/(16y^2/9+y^2
=7/9y^2/(25/9y^2)
=7/25

3x=4y
x=4/3y代入原试得
(16/9 -1)y^2/(16/9 +1)y^2
约去y方得7/25