+2669 Find all solutions of the equation
|x^2 - 30x - 1| + |x^2 - 30x + 29| = 30
+129850 abs (x) = sqrt (x^2)
sqrt [ (x^2 -30x -1)^2 ] + [sqrt [ (x^2 -30x + 29)^2 ] = 30 square both sides
(x^2 - 30x - 1)^2 + 2 sqrt [ (x^2 -30x -1)^2 (x^2 -30x + 29)^2] +(x^2 -30x + 29)^2 = 900
Solving this wouldn't be easy
Using a little technology (WolframAlpha) shows the solutions to be
[ -1 / (15 + sqrt (226)) , 1 ] U [ 29, 15 + sqrt (226 ]
