Question

Complete the work shown to answer the question. p2 – 14p – 72 = 0 p2 – 14p = 72 p2 – 14p + 49 = 72 + 49 Which describes the solutions of the equation? Since 7 and 11 are both rational, the sum and difference are rational. Since 14 and 11 are both rational, the sum and difference are rational. Since 7 is rational and is irrational, the sum and difference are irrational. Since is irrational and 11 is rational, the sum and difference are irrational.

Answer 1

Answer:Since 7 and 11 are both rational, the sum and difference are rational.

Answer 2

Answer:

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

Step-by-step explanation:

p^2 – 14p – 72 = 0

p^2 – 14p = 72

p^2 – 14p + 49 = 72 + 49

p^2 – 14p + 7^2 = 11^2

(p - 7)^2 = 121

taking square roots in both sides

p - 7 = ± 11

• p = +11 + 7 = 18

• p = -11 + 7 = -4

This procedure was made knowing that 7 and 11 are both rational