已知x+y=a,xy=b,求(1)x平方+y平方(2)x三次方+y三次方(3)x四次方+y四次方(4)x六次方+y六次方
已知x+y=a,xy=b,求(1)x平方+y平方(2)x三次方+y三次方(3)x四次方+y四次方(4)x六次方+y六次方
數(shù)學(xué)人氣:201 ℃時(shí)間:2019-10-23 05:14:34
優(yōu)質(zhì)解答
解(1):x²+y²=(x+y)²-2xy=a²-2b(2):x³+y³=(x+y)(x²-xy+y²)=(x+y)[(x²+y²)-xy]=a[(a²-2b)-b)=a(a²-3b)(3):x^4+y^4=(x²+y²)²-2x²...
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