武阿哥广场舞爱在草原:数学问题

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1.若(1/2a-x)^2=1/4a^2+1/2y·a+1/9,则x,y的值分别为_____.

2.-(2x-3)^2+(3x+2)^2=5x(x-3)+4

3.(6x+5)(6x-5)-(6x-1)^2=-20

4.(x+4)^2-(x+4)(x-4)=8

5.2(2y+1)^2-8(y+1)(y-1)=34

1.若(1/2a-x)^2=1/4a^2+1/2y·a+1/9,则x,y的值分别为_____.

[1/2a-x]^2=1/4a^2-ax+x^2
-x=1/2y
x^2=1/9
x=1/3,y=-2/3或者x=-1/3.y=2/3

2.-(2x-3)^2+(3x+2)^2=5x(x-3)+4
-4x^2+12x-9+9x^2+12x+4=5x^2-15x+4
39x=9
x=3/13

3.(6x+5)(6x-5)-(6x-1)^2=-20
36xx-25-36xx+12x-1=-20
12x=6
x=1/2

4.(x+4)^2-(x+4)(x-4)=8
xx+8x+16-xx+16=8
8x=-24
x=-3

5.2(2y+1)^2-8(y+1)(y-1)=34
8yy+8y+2-8yy+8=34
8y=24
y=3

2:x=9/39
3:x=1/2
4:x=3
5:y=3
第一题不会。