解一道指数函数的题!已知X^1/2+X^-1/2=3(1)X^-1+X=(2)X^2+X^-2=(3)X^3/2-X^-
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解一道指数函数的题!
已知X^1/2+X^-1/2=3
(1)X^-1+X=
(2)X^2+X^-2=
(3)X^3/2-X^-3/2÷X^1/2-X^-1/2
已知X^1/2+X^-1/2=3
(1)X^-1+X=
(2)X^2+X^-2=
(3)X^3/2-X^-3/2÷X^1/2-X^-1/2
(1)
(X^1/2+X^-1/2)^2=9
X^-1+X+2=9
X^-1+X=7
(2)
(X^-1+X)^2=49
X^2+X^(-2)+2=49
X^2+X^-2=47
(3)
(X^2+X^-2)(X^-1+X)
=X^3+X^(-3)+X+1/X
=X^3+X^(-3)+7=329
X^3+X^(-3)=322
(X^3/2-X^-3/2)÷(X^1/2-X^-1/2)
={[X^3+X^(-3)-2]/[X^-1+X-2]}^1/2
=(320/5)^1/2
=8
(X^1/2+X^-1/2)^2=9
X^-1+X+2=9
X^-1+X=7
(2)
(X^-1+X)^2=49
X^2+X^(-2)+2=49
X^2+X^-2=47
(3)
(X^2+X^-2)(X^-1+X)
=X^3+X^(-3)+X+1/X
=X^3+X^(-3)+7=329
X^3+X^(-3)=322
(X^3/2-X^-3/2)÷(X^1/2-X^-1/2)
={[X^3+X^(-3)-2]/[X^-1+X-2]}^1/2
=(320/5)^1/2
=8
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