An algebra problem by Ivander Jonathan

Algebra Level 3

Given that m m and n n are roots of the equation 8 x 2 6 x + 1 = 0 8x^2-6x+1=0 . What is the value of ( 1 + m + m 2 + m 3 + m 4 + . . . ) ( 1 + n + n 2 + n 3 + n 4 + . . . ) (1+m+m^2+m^3+m^4+...)(1+n+n^2+n^3+n^4+...) rounded off to two decimal places?


The answer is 2.67.

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