Question

若xyz不等于0,且(y+z)/x=(z+x)/y=(x+y)/z,求(y+z)(z+x)(x+y)/xyz的值?

Answer 1

(y+z)/x+1=(z+x)/y+1=(x+y)/z+1，即(y+z+x)/x=(z+x+y)/y=(x+y+z)/z，即x=y=z

(y+z)(z+x)(x+y)/xyz=8