已知b/a + a/b=x,b/a - a/b=y求x²-y²的值

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已知b/a + a/b=x,b/a - a/b=y求x²-y²的值
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已知b/a + a/b=x,b/a - a/b=y求x²-y²的值
已知b/a + a/b=x,b/a - a/b=y求x²-y²的值

已知b/a + a/b=x,b/a - a/b=y求x²-y²的值
x^2-y^2
=(x+y)*(x-y)
=( (b/a+a/b) + (b/a-a/b) )*( (b/a+a/b) - (b/a-a/b) )
= (2b/a) * (2a/b)
= 4