Question

cho dãy tỉ số bằng nhau a/ b +c+d = b/a+c+d= c/a+b+d =d/a+b+c

hãy tính B = a +b/c+d + b+c/a+d + c+d/a+b + d+a/b+c 

Answer 1

ta có

a/b+c+d=b/a+c+d=c/a+b+d=d/a+b+c

=>a+b+c+d/b+c+d=b+a+c+d/a+c+d=c+a+b+d/a+b+d=d+a+b+c/a+b+c

=>b+c+d=a+c+d=a+b+d=a+b+c

=>a=b=c=d

B=a+b/c+d + b+c/a+d + c+d/a+b + d+a/b+c

B=a+a/a+a + a+a/a+a + a+a/a+a + a+a/a+a

B=1+1+1+1=4

vậy B=4

Answer 2

tacó:a/b+c+d=b/a+c+d=c/a+b+d=d/a+b+c

=>a+b+c+d/b+c+d=b+a+c+d/a+c+d=c+a+b+d/a+b+d=d+a+b+c/a+b+c

=>b+c+d=a+c+d=a+b+d=a+b+c

=>a=b=c=d

B=a+b/c+d + b+c/a+d + c+d/a+b + d+a/b+c

B=a+a/a+a + a+a/a+a + a+a/a+a + a+a/a+a

B=1+1+1+1=4

vậy B=4