Avoiding decimals....
(2 + (2 + (2 + x)^{2})^{2})^{2} = 2000
(2 + (2 + x)^{2})^{2} = sqrt(2000) – 2 (+ve root only since LHS is +ve)
(2 + x)^{2} = sqrt(sqrt(2000) – 2) – 2 (+ve root only since LHS is +ve)
(2 + x)^{2} = k say,
x^{2} + 4x + 4 – k = 0
Quadratic equation: Sum of roots = b/a = 4
Edited on January 29, 2013, 11:42 am

Posted by Harry
on 20130129 11:40:59 