stl map find ifthe minimum value of A=x^2 + y^2 if x + y =10

求解if x&0 and ( x+1/(x) )^2 =25 , find the value of x^3+1/(x^3) .
求解if x&0 and ( x+1/(x) )^2 =25 , find the value of x^3+1/(x^3) . 50
if x>0 and ( x+1/(x) )^2 =25 , find the value of x^3+1/(x^3) .
for x&0 and ( x+1/(x) )^2 =25so x+1/(x)=5 x^3+1/(x^3) =(x+1/x)(x^2+(1/x)^2 -1)=(x+1/x)[( x+1/x)^2-2-1]=5*(25-2-1)=5*22=110,哪里不清请縋问,满意请采纳,谢谢!欢迎加入我们~
x^3+1/(x^3)=(X+1/X)[X^2-1+1/(x^2)]
&&&&&&&&&&&&&&&& =(x+1/x)[( x+1/(x) )^2-3]
&&&&&&&&&&&&&&&&&=22( x+1/(x)
as&x&0 and ( x+1/(x) )^2 =25
so ( x+1/(x) )=5
&
so
x^3+1/(x^3)=(X+1/X)[X^2-1+1/(x^2)]
&&&&&&&&&&&&&&&& =(x+1/x)[( x+1/(x) )^2-3]
&&&&&&&&&&&&&&&&&=22( x+1/(x)
&&&&&&&&&&&&&&&& 110
其他回答 (4)
272/16 好像是
if x&0 and ( x+1/(x) )^2 =25&& ==& x+1/x=5
( x+1/(x) )^3 =125&&=x^3+1/(x^3) +3*(x+1/x)
So
x^3+1/(x^3)=110
because x&0 and ( x+1/(x) )^2 =25& so x+1/(x)=5
and for (a+b)^3=a^3+b^3+3a^2b+3ab^2
so x^3+1/(x^3)=( x+1/(x) )^3-3(x)^2(1/x)-3(x)(1/x)^2
&&&&&&&&&&&&&&&&&&&& =5^3-3(x+1/x)=125-3*5=110
if x&0 and ( x+1/(x) )^2 =25 , find the value of x^3+1/(x^3)
意思就是x&0 哃时 ( x+1/(x) )^2 =25 时,求x^3+1/(x^3) 的值
( x+1/(x) )^2 =25
x+1/x=±5
因为x&0
故:x+1/x=5
x^2-5x+1=0
x=(5+√21)/2
x^3+1/(x^3)=(x+1/x)(1-1/x+1/x^2)
=5[(x+1/x)^2-3/x)
=5[25-3*2/(5+√21)]
=5[25-6/4(5-√21)]
=125-75/2+15/2√21
=175/2+15/2√21
&
等待您来回答
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