The value of a solution of the rational equation that must discard and nullify the context of the equation is -9
Word problems in mathematics require crucial understanding because they are used to solve a real-life scenario. It entails the gathering of all information necessary to arrive at the solution.
From the information given:
- It will take Charlene and Gina 18 minutes to organize comic books
- Gina will use = 15 minutes if Gina works alone
where x represents the number of minutes
The equation representing the above information is given as:
[tex]\mathbf{\mathbf{\dfrac{1}{x}+ \dfrac{1}{x+15}= \dfrac{1}{18}}}[/tex]
The objective of this question is to determine the value in which it will discard and nullify the context of the above equation.
In that case, the number must be a number in which when substituted into the above equation will result in having the same value on the left-hand side and the right-hand side.
From the given option, the number that results in that is -9
[tex]\mathbf{\mathbf{\dfrac{1}{-9}+ \dfrac{1}{-9+15}= \dfrac{1}{18}}}[/tex]
[tex]\mathbf{\mathbf{0.05555555556= 0.05555555556}}[/tex]
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