Algebra Math Olympiad Problems | Find the Value of x

[@manishsaxena4566]

Really good problem & solution 👋👋👋👋👋👋👋

[@ajeethpandey]

Amazing !

[@raghvendrasingh1289]

👍
(a+b)^3 - a^3 - b^3 = 3 ab(a+b)
(a+b)^5 - a^5 - b^5 = 5 ab (a+b) (a^2+ab+b^2)
(a+b)^7 - a^7 - b^7 = 7 ab(a+b) (a^2+ab+b^2)^2
let a = 2x - 3 , b = x - 2
(5/3) { (4 x^2-12 x+9)+(2 x^2- 7 x+6)+(x^2- 4 x+4) } = 65
7 x^2 - 23 x+19 = 39
7 x^2 - 23 x - 20 = 0
x = 4 , - 5/7

[@MataniMath]

Very nice solution 👍👍💪💪🙏 @raghvendrasingh¹289