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数学
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已知(x-y)的平方根是±√2,(2x+5y-3/8)的立方根是-3/2,求x²-y²的算术平方根
人气:261 ℃ 时间:2019-08-21 11:38:09
解答
x-y=(√2)²
2x+5y- 3/8=(-3/2)³
整理,得
x-y=2 (1)
2x+5y=-3 (2)
(1)×5+(2)
7x=7
x=1
代入(1)
y=x-2=1-2=-1
√(x²-y²)=√[1²-(-1)²]=√(1-1)=0
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