
先化简,在求值:(x+1+x-3分之4)除以x的平方-3x分之x-1,其中x=根号3+1?
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[x+1+4/(x-3)]÷(x-1)/(x^2-3x)
=(x^2-2x-3+4)/(x-3)*x(x-3)/(x-1)
=x(x^2-2x+1)/(x-1)
=x(x-1),
x=√3+1时,原式=(√3+1)√3=3+√3.
[x+1+4/(x-3)]÷(x-1)/(x^2-3x)
=(x^2-2x-3+4)/(x-3)*x(x-3)/(x-1)
=x(x^2-2x+1)/(x-1)
=x(x-1),
x=√3+1时,原式=(√3+1)√3=3+√3.
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