要求简便方法的详细过程1、x+y+9/x+4/y=10(x^2+9)(y^2+4)=24xy2、x^2+y^2+x+y=18x^2+xy+y^2=193、x^2+3xy+y^2+2x+2y=82x^+2y^2+3x+3y=144、x^3+x^3y^3+y^3=12x+xy+y=05、√[(a-1)^2+b^2]=r+1/2√[(a+1/2)^2+b^2]=r+1√(a^2+b^2)+r=3/26、√(x+1/y)
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![要求简便方法的详细过程1、x+y+9/x+4/y=10(x^2+9)(y^2+4)=24xy2、x^2+y^2+x+y=18x^2+xy+y^2=193、x^2+3xy+y^2+2x+2y=82x^+2y^2+3x+3y=144、x^3+x^3y^3+y^3=12x+xy+y=05、√[(a-1)^2+b^2]=r+1/2√[(a+1/2)^2+b^2]=r+1√(a^2+b^2)+r=3/26、√(x+1/y)](/uploads/image/z/1992765-21-5.jpg?t=%E8%A6%81%E6%B1%82%E7%AE%80%E4%BE%BF%E6%96%B9%E6%B3%95%E7%9A%84%E8%AF%A6%E7%BB%86%E8%BF%87%E7%A8%8B1%E3%80%81x%2By%2B9%2Fx%2B4%2Fy%3D10%28x%5E2%2B9%29%28y%5E2%2B4%29%3D24xy2%E3%80%81x%5E2%2By%5E2%2Bx%2By%3D18x%5E2%2Bxy%2By%5E2%3D193%E3%80%81x%5E2%2B3xy%2By%5E2%2B2x%2B2y%3D82x%5E%2B2y%5E2%2B3x%2B3y%3D144%E3%80%81x%5E3%2Bx%5E3y%5E3%2By%5E3%3D12x%2Bxy%2By%3D05%E3%80%81%E2%88%9A%5B%28a-1%29%5E2%2Bb%5E2%5D%3Dr%2B1%2F2%E2%88%9A%5B%28a%2B1%2F2%29%5E2%2Bb%5E2%5D%3Dr%2B1%E2%88%9A%28a%5E2%2Bb%5E2%29%2Br%3D3%2F26%E3%80%81%E2%88%9A%28x%2B1%2Fy%29)
要求简便方法的详细过程1、x+y+9/x+4/y=10(x^2+9)(y^2+4)=24xy2、x^2+y^2+x+y=18x^2+xy+y^2=193、x^2+3xy+y^2+2x+2y=82x^+2y^2+3x+3y=144、x^3+x^3y^3+y^3=12x+xy+y=05、√[(a-1)^2+b^2]=r+1/2√[(a+1/2)^2+b^2]=r+1√(a^2+b^2)+r=3/26、√(x+1/y)
要求简便方法的详细过程
1、
x+y+9/x+4/y=10
(x^2+9)(y^2+4)=24xy
2、
x^2+y^2+x+y=18
x^2+xy+y^2=19
3、
x^2+3xy+y^2+2x+2y=8
2x^+2y^2+3x+3y=14
4、
x^3+x^3y^3+y^3=12
x+xy+y=0
5、
√[(a-1)^2+b^2]=r+1/2
√[(a+1/2)^2+b^2]=r+1
√(a^2+b^2)+r=3/2
6、
√(x+1/y)+√(x-y-2)=4
2x-y+1/y=10
要求简便方法的详细过程1、x+y+9/x+4/y=10(x^2+9)(y^2+4)=24xy2、x^2+y^2+x+y=18x^2+xy+y^2=193、x^2+3xy+y^2+2x+2y=82x^+2y^2+3x+3y=144、x^3+x^3y^3+y^3=12x+xy+y=05、√[(a-1)^2+b^2]=r+1/2√[(a+1/2)^2+b^2]=r+1√(a^2+b^2)+r=3/26、√(x+1/y)
(x^2+9)(y^2+4)=24xy
两边同时除以xy,得(x+9/x)(y+4/y)=24
又(x+9/x)+(y+4/y)=10
设x+9/x=M,y+4/y=Q,则可以视M、Q为以下一元二次方程式的两根
t^2-10t+24=0
(t-4)(t-6)=0
则M=4,P=6,或M=6,P=4
而x+9/x>=6或x+9/x