Answer:
Since 7 and 11 are both rational, the sum and difference are rational.
Step-by-step 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
