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?

Answer 1

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

Explanation:

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

B. Since 14 and 11 are both rational, the sum and difference are rational.

C. Since 7 is rational and StartRoot 11 EndRoot is irrational, the sum and difference are irrational.

D. Since StartRoot 7 EndRoot is irrational and 11 is rational, the sum and difference are irrational.

p² – 14p – 72 = 0

p² – 14p = 72

p² – 14p + 49 = 72 + 49

p² - 14p + 49 = 121

(p - 7)² = 121

find the square root of both sides

√(p - 7)² = √121

p - 7 = ±11

p = +11 - 7 or p = -11 - 7

p = 4 or -18