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p2 – 14p – 72 = 0

p2 – 14p = 72

p2 – 14p + 49 = 72 + 49





Which describes the solutions of the equation?

Respuesta :

Kitty10101
Since 7 and 11 are both rational, the sum and difference are rational

(p−7)=±11

Answer:

p =18, -4

Step-by-step explanation:

Solve the equation using middle term spiting:

[tex]p^2 - 14p + 49 = 72 + 49[/tex]

[tex]p^2 - 14p +49-49 = 72 [/tex]

[tex]p^2 - 14p  = 72 [/tex]

[tex]p^2 - 14p-72=0 [/tex]

[tex]p^2 - 18p+4p-72=0 [/tex]

[tex]p(p-18)+4(p-18)=0 [/tex]

[tex](p-18)(p+4)=0 [/tex]

[tex]p-18=0 , p+4 =0 [/tex]

[tex]p=18 , p = -4 [/tex]

Thus the solution of the equation is p =18, -4

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