Complete the work shown to answer the question. p2 – 14p – 72 = 0 p2 – 14p = 72 p2 – 14p + 49 = 72 + 49 Which describes the solu

Question

2 years ago

7

Complete the work shown to answer the question. p2 – 14p – 72 = 0 p2 – 14p = 72 p2 – 14p + 49 = 72 + 49 Which describes the solu

tions 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.

Mathematics

2 answers:

In-s [12.5K] · Answer 1 · 2021-12-28T02:10:05+03:00

In-s [12.5K]2 years ago

5 0

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

Ne4ueva [31] · Answer 2 · 2021-12-28T03:25:40+03:00

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