作业帮设非零复数x,y满足x^2+xy+y^2=0.则代数式[x/(x+y)]^2010-[y/(x+y)]^2010=?
来源：学生作业帮助网 编辑：作业帮 时间：2024/07/22 02:58:25
![设非零复数x,y满足x^2+xy+y^2=0.则代数式[x/(x+y)]^2010-[y/(x+y)]^2010=?](/uploads/image/z/3011408-8-8.jpg?t=%E8%AE%BE%E9%9D%9E%E9%9B%B6%E5%A4%8D%E6%95%B0x%2Cy%E6%BB%A1%E8%B6%B3x%5E2%2Bxy%2By%5E2%3D0.%E5%88%99%E4%BB%A3%E6%95%B0%E5%BC%8F%5Bx%2F%28x%2By%29%5D%5E2010-%5By%2F%28x%2By%29%5D%5E2010%3D%3F)
xRN0~"'8N%X `cA,!0 SĂ5JAL}DBnL~>[]&yuu]]<鳯1
wM3\+< qGly5
bSKnm7ŞmӬX+2 UyƁlܓ< 0/pGHLR`m`S+8Q
>2LJt6W\σ<reoQ8)kZqZӇPtpXu&w5ZZ I]Ѧ:њOPakQ_S.mu@jA l\cˏzl
设非零复数x,y满足x^2+xy+y^2=0.则代数式[x/(x+y)]^2010-[y/(x+y)]^2010=?
设非零复数x,y满足x^2+xy+y^2=0.则代数式[x/(x+y)]^2010-[y/(x+y)]^2010=?
设非零复数x,y满足x^2+xy+y^2=0.则代数式[x/(x+y)]^2010-[y/(x+y)]^2010=?
x^2+xy+y^2=0,两边除以y^2得,（x/y）^2+x/y+1=0,根据求根公式得,x/y=（-1+√3i）/2,或x/y=（-1-√3i）/2,当x/y=（-1+√3i）/2时,x/（x+y）=1-y/（x+y）=1-1/（x/y+1）=（1+√3i）/2,y/（x+y）=（1-√3i）/2,当x/y=（-1-√3i）/2时,x/（x+y）=（1-√3i）/2,y/（x+y）=（1+√3i）/2,两种情况都是[x/(x+y)]^2010-[y/(x+y)]^2010=[（1-√3i）/2]^2010+[(1+√3i）/2]^2010,计算[（1-√3i）/2]^3=-1,[(1+√3i）/2]^3=-1,所以原式=（-1）^670+（-1）^670=1+1=2
设非零复数x,y满足x^2+xy+y^2=0.则代数式[x/(x+y)]^2010-[y/(x+y)]^2010=?
设非零复数x,y满足x^2+xy+y^2=0,求代数式（x/x+y）^1990+(y/x+y)^1990的值
一道高中复数四则运算题目我不太懂,设非零复数x,y满足x^2+xy+y^2=0,则代数式[ x/(x+y)]^2010+[ y/(x+y)]^2010的值是多少?
已知实数xy满足x+2y
已知实数xy满足 x+y-2
正数x,y满足x-y=2xy,求x-y/x+y的值.
已知xy满足约束条件y=2 2X+y
已知x.y满足X2-y2=2xy.则x-y/x+y=?x.
若实数x,y满足x^2-xy-y^2 =0,则x/y=?
整数x,y满足方程2xy+x+y=83,则x+y怎么算
若正实数x.y满足x+y=xy,则x+2y的最小值
整数x,y满足x2-y2=2xy,求x-y/x+y的值
已知正整数x,y满足：xy-x-y=0,则x+2y的最小值
若正整数X,Y满足2X+Y--XY=0,求X+Y的最小值
正整数x,y满足x2-y2=2xy,求x-y/x+y的值
x,y满足2xy+x+y=83.x+y是何数?
已知正数x,y满足2x+8y-xy=0,x+y的最小值
若xy满足x²+2x+y-2√y-1=-1,求xy,