Answer: The required solution set of the given quadratic equation is {-11, 0}.
Step-by-step explanation: We are given to find the solution set for the following quadratic equation :
[tex]-p^2-11p=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
Since there is no constant term, so the solution of equation (i) can be found simply as follows :
[tex]-p^2-11p=0\\\\\Rightarrow -p(p+11)=0\\\\\Rightarrow -p=0,~~~p+11=0\\\\\Rightarrow p=0,~-11.[/tex]
Thus, the required solution set of the given quadratic equation is {-11, 0}.
