Question

P2 – 14p – 72 = 0

Answer 1

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

(p−7)=±11

Answer 2

Answer:

p =18, -4

Step-by-step explanation:

Solve the equation using middle term spiting:

$p^2 - 14p + 49 = 72 + 49$

$p^2 - 14p +49-49 = 72$

$p^2 - 14p = 72$

$p^2 - 14p-72=0$

$p^2 - 18p+4p-72=0$

$p(p-18)+4(p-18)=0$

$(p-18)(p+4)=0$

$p-18=0 , p+4 =0$

$p=18 , p = -4$

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