已知13X^2-6XY+Y^2-4x+1=0,求(x+y)^9乘以x^10的值.
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已知13X^2-6XY+Y^2-4x+1=0,求(x+y)^9乘以x^10的值.
已知13X^2-6XY+Y^2-4x+1=0,求(x+y)^9乘以x^10的值.
已知13X^2-6XY+Y^2-4x+1=0,求(x+y)^9乘以x^10的值.
拆项配方法:
(9x^2-6xy+y^2)+(4x^2-4x+1)=0
(3x-y)^2 +(2x-1)^2=0
所以 2x-1=0 3x-y=0
x=1/2 y=3x=3/2
x+y=2
(x+y)^9乘以x^10=2^9 *(1/2)^10=1/2
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