For Exam $6$ Bonus Problem $1$ and $\backslash ($ b$=5\backslash ),$ find $\backslash ($ a $\backslash ),$ such that $\backslash ($ L$=100\backslash$pm $10^\{-6\}\backslash ).$ Use only numerical methods covered and coded in this course. State which methods you have used. Give both $\backslash ($ L $\backslash )$ and $\backslash ($ b $\backslash )$ as decimal floating points numbers in engineering notation with at least $9$ mantissa digits.

Required submission:

name of methods used $($names appearing only in code are insufficient$)$;

printout of $\backslash ($ b $\backslash )$ and resulting $\backslash ($ L $\backslash )$ as decimal floating point numbers in engineering notation with at least $9$ mantissa digits;

printout of any additional functions coded used to solve this problem not submitted in earlier exams or homework;

printout of script used to solve this problem;

submit all to Gradescope using the Exam $6$ Bonus assignment link