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一、已知x+y=7,xy=2,求:2x²+2y²的值;(x-y)²的值.二、化简求值:(x
题目内容:
一、
已知x+y=7,xy=2,求:2x²+2y²的值;(x-y)²的值.
二、化简求值:(x-½y-1)(x-½y+1)-(x-½y-1)²,其中x=1.7 y=3.9.
三、已知a²b²+a²+b²+1=4ab求a、b的值.优质解答
一.
2x²+2y²
=2(X+Y)^2-4XY
=98-8=90
(x-y)²
=(x+y)^2-4xy
=49-8=41
二.
(x-½y-1)(x-½y+1)-(x-½y-1)²
=(x-½y)^2 -1 -(x-½y-1)²
=(2x-2*(1/2)y-1)-1
=2x-y-2
三.
a²b²+a²+b²+1=4ab
(a^2b^2-2ab+1)+(a^2-2ab+b^2)=0
(ab-1)^2+(a-b)^2=0
ab-1=0
a-b=0
a=b=1或-1
已知x+y=7,xy=2,求:2x²+2y²的值;(x-y)²的值.
二、化简求值:(x-½y-1)(x-½y+1)-(x-½y-1)²,其中x=1.7 y=3.9.
三、已知a²b²+a²+b²+1=4ab求a、b的值.
优质解答
2x²+2y²
=2(X+Y)^2-4XY
=98-8=90
(x-y)²
=(x+y)^2-4xy
=49-8=41
二.
(x-½y-1)(x-½y+1)-(x-½y-1)²
=(x-½y)^2 -1 -(x-½y-1)²
=(2x-2*(1/2)y-1)-1
=2x-y-2
三.
a²b²+a²+b²+1=4ab
(a^2b^2-2ab+1)+(a^2-2ab+b^2)=0
(ab-1)^2+(a-b)^2=0
ab-1=0
a-b=0
a=b=1或-1
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