X² 4y² 2x 16y=-17,求X的Y次方

解题思路：用x2的取值范围、二次函数的的性质、均值不等式，换元法求函数的值域解题过程：

[(x+2y)(x-2y)-(x-2y)^2+8y(x+y)]/4x=[x^2-4y^2-x^2-4y^2+4xy+8xy+8y^2]/4x=12xy/4x=3y

先化简[(x²+y²)-(x-y)²+2y(x-y)]/4y[(x²+y²)-(x-y)²+2y(x-y)]/4y=[x²+y&s

设x,y是有理数,并且x,y满足x平方+2y+(根号2）y=17-4倍根号2求x,y的值x^2+2y+√2y=17-4√2x^2+y(2+√2)=25-8-4√2=25-4(2+√2)x^2=25x=

等式左右两边,有理数与有理数对应,无理数与无理数对应（这里就是带跟号的）所以x+2y=17-(√2)y=4√2所以y=-4x=25(√X+Y)^2010=1^2010=1

由(1)得3x+3y+2x-2y=365x+y=36(3)由(2)得4x+4y-3x+3y=-20x+7y=-20(4)(3)×7-(4)得34x=272∴x=8把x=8代入(3)得y=-4∴x=8y

{(x+y)/2+(x-y)/3=63(x+y)+2(x-y)=36(1)4(x+y)-3(x-y)=-20(2)由（1）*3+(2)*2得9(x+y)+6(x-y)+8(x+y)-6(x-y)=36

先化简[(x²+y²)-(x-y)²+2y(x-y)]/4y[(x²+y²)-(x-y)²+2y(x-y)]/4y=[x²+y&s

化简得：-x+7y=11①7x+3y=27②①式×7得：-7x+49y=77③②+③得：52y=104∴y=2代入①得：x=3∴x=3,y=2再问：亲，是代入法哦！再答：代入法①式得3x+3y-4x+

原式=(2x-y)(x+y)/(2x-y)^2=(x+y)/(2x-y)x/y=2x=2y原式=3y/3y=1

由已知：xy+x+y=17,xy(x+y)=66,可知xy和x+y是方程t2-17t+66=0的两个实数根,得：t1=6,t2=11.即xy=6,x+y=11,或xy=11,x+y=6.当xy=6,x

第二个方程是不是写错了2/（x+y）+3/（x-y）=6是这样吗

X^2表示平方X^2+4X+4+Y^2-2Y+1=0(X+2)^2+(Y-1)^2=0因为平方大于=0所以X+2=0Y-1=0X=-2Y=1X^2+Y^2=5

即(x-2y)²=0x-2y=0所以x=2y所以原式=(2x²+2xy-xy-y²)/(4x²-4xy+y²)=(2x²+xy-y²

3(x+y)-4(x-y)=4(x+y)/2+(x-y)/6=1令a=x+y,b=x-y3a-4b=4(1)a/2+b/6=1则3a+b=6(2)(2)-(1)5b=2b=2/5a=(6-b)/3=2

4x=9yx=9/4*y(1)(x+y)/y=[(9/4)y+y]/y=(9/4+1)y/y=9/4+1=13/4(2)(y-x)/2x=[y-(9/4)y]/[2*(9/4)y]=(1-9/4)y/

1、3x-2y=32x+2y=176x-4y=66x+6y=5110y=45y=4.5x=42方程无解3、x+3y=62x-3y=32x+6y=122x-3y=3y=1x=34、2x+3y=11y-2

解题思路：先利用完全平方公式求出x、y的值，再代入求出代数式的值。解题过程：

√2y=-4√2y=-4x^2+2y=17x^2=25x=5,-5

我把方法告诉你,最后的答案你自己做吧,很容易.(x+y)(x+2y)(x+3y)(x+4y)=-40(x+y)（x+4y）(x+2y)(x+3y）=-40(x^2+5yx+44)(x^2+5yx+66