daye2k17
daye2k17 daye2k17
  • 01-02-2018
  • Mathematics
contestada

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

Respuesta :

DelcieRiveria DelcieRiveria
  • 21-02-2019

Answer:

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

Step-by-step explanation:

The given equation is

[tex]p^2-12p=13[/tex]

Subtract 13 from both the sides.

[tex]p^2-12p-13=0[/tex]

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

[tex]p^2-13p+p-13=0[/tex]

[tex]p(p-13)+1(p-13)=0[/tex]

[tex](p+1)(p-13)=0[/tex]

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

[tex]p+1=0\Rightarrow p=-1[/tex]

[tex]p-13=0\Rightarrow p=13[/tex]

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

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