Question

Find the solution set. The solution set for -p2 − 11p = 0 is {}. (Separate the solutions with a comma.)

Answer 1

$-p^2-11p=0\\ -p(p+11)=0\\ p=0 \vee p=-11$

$\{-11,0\}$

Answer 2

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 :

$-p^2-11p=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

Since there is no constant term, so the solution of equation (i) can be found simply as follows :

$-p^2-11p=0\\\\\Rightarrow -p(p+11)=0\\\\\Rightarrow -p=0,~~~p+11=0\\\\\Rightarrow p=0,~-11.$

Thus, the required solution set of the given quadratic equation is {-11, 0}.