2n = pi sqrt(2 + n) square everything
(2n)^2 = pi^2 (2 + n) multiply the square
4n^2 = pi^2 (2 + n)
4n^2 = 2pi^2 +pi^2n
4n^2 -pi^2n - 2pi^2 = 0
4n^2 - 9.869n - 19.739 = 0
use quadratic equation
a = 4, b = -9.869, c = -19.739
[-(-9.869) +or- sqrt(-9.869^2 - 4 * 4 * (-19.739)] / 2 * 4
[9.869 +or- sqrt(97.397 + 315.824) / 8
[9.869 +or- sqrt(413.221)] / 8
(9.869 +or- 20.327) /8
30.196/8 or -1.307