({ sqrt{2} + 1})^{x} + ({ sqrt{2}-1 })^{x} - 2 sqrt{2} = 0 Find sum of all possible value of x

Question

({  sqrt{2}   +   1})^{x}  +  ({  sqrt{2}-1 })^{x}  - 2  sqrt{2}  = 0  Find sum of all possible value of x​

Isabella · Answer

Answer:   use  roots formula   Step-by-step explanation:   -b+root of 4ac÷2a then you get it

[tex] ({ \sqrt{2} + 1})^{x} + ({ \sqrt{2}-1 })^{x} – 2 \sqrt{2} = 0[/tex]Find sum of all possible value of x​