Question

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Find the solution set.

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

Answer 1

p=-11is the answer of question

Answer 2

The solution set for the given equation is $\left\{0,11\right\}$.

Step-by-step explanation:

Consider the provided equation.

$p^2 - 11p = 0$

We need to find the solution set for the above equation.

First factor out the common factor.

$p(p - 11) = 0$

Now use the zero property: If $ab=0$ then either $a=0\ or\ b=0$.

Therefore,

$p=0\ \:\:\:\:\:\: or\ \:\:\:\:\:\: p - 11 = 0$

$p=0\ \:\:\:\:\:\: or\ \:\:\:\:\:\: p =11$

Hence, the solution set for the given equation is $\left\{0,11\right\}$.

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