# For #a,b,c# non- zero, real distinct, the equation, #( a^2+b^2)x^2 -2b(a+c) x +b^2+c^2=0# has non-zero real roots. One of these roots is also the root of the equation? A) #a^2x^2-a(b-c)x+bc=0# B) #a^2x^2+a(c-b)x-bc=0# C) #(b^2+c^2)x^2-2a(b+c)x+a^2=0#

##### 1 Answer

Mar 5, 2017

See below.

#### Explanation:

Solving for

After substituting

we obtain for the option B) the roots

so the correct option is B)