The teacher will be very surprised to see your correct solution 😉
/ 2 \ / 2 \ acot\3*x - 1/ = acot\2*x + x + 1/
x1 = -440416.750957971
x2 = -490961.315605905
x3 = 459675.65368392
x4 = 500110.924931888
x5 = 399026.211166227
x6 = 388918.494475281
x7 = 2.0
x8 = -389874.840966803
x9 = 409134.096587157
x10 = -369659.056635409
x11 = -410091.225346354
x12 = 378810.960503636
x13 = 449567.091145624
x14 = -470743.224570508
x15 = -501070.47803382
x16 = 490001.966938249
x17 = -460634.305967651
x18 = -480852.229519127
x19 = 439458.645238249
x20 = -450525.479373643
x21 = 479893.098352631
x22 = 429350.324456702
x23 = -430308.127454439
x24 = -379766.867985803
x25 = -420199.616227209
x26 = -399982.96367454
x27 = 368703.624831484
x28 = 510219.966880963
x29 = 419242.138141588
x30 = 469784.325110315
x30 = 469784.325110315