Solve-for-x-x-a-2-b-c-x-b-2-c-a-x-c-2-a-b-4-a-b-c-

Question Number 181243 by Agnibhoo98 last updated on 23/Nov/22

Solve for x :

\frac{x - a^{2}}{b + c} + \frac{x - b^{2}}{c + a} + \frac{x - c^{2}}{a + b} = 4 (a + b + c)

Answered by Frix last updated on 23/Nov/22

x = {(a + b + c)}^{2}

x - a^{2} = b^{2} + c^{2} + 2 a b + 2 a c + 2 b c =

= {(b + c)}^{2} + 2 a b + 2 a c = {(b + c)}^{2} + 2 a (b + c) =

= (b + c) (2 a + b + c)

the rest is plain to see

Facebook Tweet Pin