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N76 [4]
3 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]3 years ago
5 0

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

Ne4ueva [31]3 years ago
3 0

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

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