Please solve all of these questions with proper explanation

Asked by Suchismitasingha18 | 7th Aug, 2021, 04:44: PM

Expert Answer:

Problem B:
Find all x belonging to R that solve this equation 123 equals x times open parentheses 2 x times open curly brackets 3 x minus 3 close curly brackets minus 2 close parentheses plus 100 plus 20 plus 3
Solution:
123 equals x times open parentheses 2 x times open curly brackets 3 x minus 3 close curly brackets minus 2 close parentheses plus 100 plus 20 plus 3
rightwards double arrow 123 equals x times open parentheses 6 x squared minus 6 x minus 2 close parentheses plus 123
rightwards double arrow x times open parentheses 6 x squared minus 6 x minus 2 close parentheses equals 0
rightwards double arrow x equals 0 space space o r space space 6 x squared minus 6 x minus 2 equals 0
rightwards double arrow x equals 0 space space o r space space 3 x squared minus 3 x minus 1 equals 0
rightwards double arrow x equals 0 space space o r space space x equals fraction numerator 3 plus-or-minus square root of 9 plus 12 end root over denominator 6 end fraction
rightwards double arrow x equals 0 space space o r space space x equals fraction numerator 3 plus-or-minus square root of 21 over denominator 6 end fraction

Answered by Renu Varma | 11th Aug, 2021, 01:27: PM