# Thread: values of k

1. ## values of k

If $K=\frac{a}{b+c}=\frac{b}{a+c}=\frac{c}{b+a}$

Find the possible values of K.

In my view there is only one possible value of k i.e $\frac{1}{2}$ when $a=b=c$ but I am not sure about the answer!

2. Originally Posted by u2_wa
If $K=\frac{a}{b+c}=\frac{b}{a+c}=\frac{c}{b+a}$

Find the possible values of K.

In my view there is only one possible value of k i.e $\frac{1}{2}$ when $a=b=c$ but I am not sure about the answer!
$\frac{a}{b+c}=\frac{b}{a+c}$ leads to $a(a+c) = b(b+c)$ or $(a-b)(a+b+c) = 0$

You can have a=b or a+b+c=0

I let you go on