若3^χ=81,4^y=8,求代数式(x+y)(x-y)的值
网友回答
3^χ=81,4^y=8,
x=4 4^y=2^2y=8
2y=3y=3/2(x+y)(x-y)
=(4+3/2)(4-3/2)
=11/2×5/2
=55/4======以下答案可供参考======
供参考答案1:
3^x=81,所以x=5
4^y=2^(2y)=8,所以2y=3,y=3/2
所以(x-y)(x+y)=x^2-y^2=25-9/4=91/4
供参考答案2:
x=4,y=3/2
代入得 11/2*5/2=55/4
供参考答案3:
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