求求您了:对于正整数a,b,c(a小于等于b小于等于c)和非零实数x,y,z,w,若a的x方=b的y方=c的z方=70的w方不等于1,1/w=1/x+1/y+1/z,求a,b,c的值.
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![求求您了:对于正整数a,b,c(a小于等于b小于等于c)和非零实数x,y,z,w,若a的x方=b的y方=c的z方=70的w方不等于1,1/w=1/x+1/y+1/z,求a,b,c的值.](/uploads/image/z/6156738-18-8.jpg?t=%E6%B1%82%E6%B1%82%E6%82%A8%E4%BA%86%EF%BC%9A%E5%AF%B9%E4%BA%8E%E6%AD%A3%E6%95%B4%E6%95%B0a%2Cb%2Cc%28a%E5%B0%8F%E4%BA%8E%E7%AD%89%E4%BA%8Eb%E5%B0%8F%E4%BA%8E%E7%AD%89%E4%BA%8Ec%29%E5%92%8C%E9%9D%9E%E9%9B%B6%E5%AE%9E%E6%95%B0x%2Cy%2Cz%2Cw%2C%E8%8B%A5a%E7%9A%84x%E6%96%B9%3Db%E7%9A%84y%E6%96%B9%3Dc%E7%9A%84z%E6%96%B9%3D70%E7%9A%84w%E6%96%B9%E4%B8%8D%E7%AD%89%E4%BA%8E1%2C1%2Fw%3D1%2Fx%2B1%2Fy%2B1%2Fz%2C%E6%B1%82a%2Cb%2Cc%E7%9A%84%E5%80%BC.)
求求您了:对于正整数a,b,c(a小于等于b小于等于c)和非零实数x,y,z,w,若a的x方=b的y方=c的z方=70的w方不等于1,1/w=1/x+1/y+1/z,求a,b,c的值.
求求您了:对于正整数a,b,c(a小于等于b小于等于c)和非零实数x,y,z,w,
若a的x方=b的y方=c的z方=70的w方不等于1,1/w=1/x+1/y+1/z,求a,b,c的值.
求求您了:对于正整数a,b,c(a小于等于b小于等于c)和非零实数x,y,z,w,若a的x方=b的y方=c的z方=70的w方不等于1,1/w=1/x+1/y+1/z,求a,b,c的值.
a^x=70^w
a=70^(w/x)
b=70^(w/y)
c=70^(w/z)
abc=70^(w/x+w/y+w/z)=70^w(1/x+1/y+1/z)=70=2*5*7
因为a≠1,(否则a^x=1,w=0,1/w无意义) 和a^3≤70