已知13x²-6xy+y²-4x+1=0,求(x+y)2013次方×x2014次方的值,,,,求解
已知13x²-6xy+y²-4x+1=0,求(x+y)2013次方×x2014次方的值,,,,求解!!!!!!...
已知13x²-6xy+y²-4x+1=0,求(x+y)2013次方×x2014次方的值,,,,求解!!!!!!
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2014-06-14
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13x^2-6xy+y^2-4x+1=0
9x^2-6xy+y^2+4x^2-4x+1=0
(3x-y)^2+(2x-1)^2=0
y=3x,x=1/2
y=3*1/2=3/2
(x+y)^2013*x^2011
=(x+y)^2(x+y)^2011*x^2011
=(x+y)^2[(x+y)*x]^2011
=(1/2+3/2)^2[(1/2+3/2)*1/2]^2011
=2^2*1^2011
=4*1
=4
9x^2-6xy+y^2+4x^2-4x+1=0
(3x-y)^2+(2x-1)^2=0
y=3x,x=1/2
y=3*1/2=3/2
(x+y)^2013*x^2011
=(x+y)^2(x+y)^2011*x^2011
=(x+y)^2[(x+y)*x]^2011
=(1/2+3/2)^2[(1/2+3/2)*1/2]^2011
=2^2*1^2011
=4*1
=4
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