Question

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

Answer 1

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.