Please explain to me step by step how to get the correct answers shown in red since I don't understand the work being done in the solutions.

A sensor has the transfer function given to the right. Find the bandwidth of the system K w. G(5) - 2 + 25 Wns + wa K = 17 - 253 rad/s 7 = 0.6 G (s) 25w Define: r = w/wn K K M M M = K (1 72) + (257 To - 272 + 1+40272 - M - -0 r - 2(1 -20 )7 + (1 -M )=0 2(1 - 247) +. (2(1 -25)) -4(1 -M ) 12 72 = (1-267) +_(1 - 262)3 - (1-M-z) 13 - 02 (1 -242) + 462 (5- - 1) + M-2 wb = 1 0e+02 * -2.1345 + 0.00001 -1.3682 + 0.28241 2.1345 + 0.00001 -1 3682 - 0.28241 0.0000 + 0.98571 1.3682 + 0 28241 0.0000 - 0.98571 1 3682 - 0.28241 w - 213 rad/5 smallest, positive, real value)