What are the solutions to the equation? p2−12p=13

Question

asked Feb 25, 2019 79.4k views

1 Answer

Geographika · Answer 1 · 2019-03-02T19:16:42+0000

Answer:

The solutions of the given equations are -1 and 13.

Explanation:

The given equation is

p^2-12p=13

Subtract 13 from both the sides.

p^2-12p-13=0

Middle term can be written as -13p+p,

p^2-13p+p-13=0

p(p-13)+1(p-13)=0

(p+1)(p-13)=0

Using zero product property, equal each factor equal to 0.

$p+1=0\Rightarrow p=-1$

$p-13=0\Rightarrow p=13$

Therefore the solutions of the given equations are -1 and 13.