Determine the approximate solutions to each of the given equations. Show your work.

Question

a.(k + 9)2 = 71
b. (6 - p)2=47

Answer 1

a. (k + 9)2 = 71
(k + 9)2 = 71
k + 9 = ±√71
k = -9 ± √71
k ≈ -9 + √71 or k ≈ -9 - √71

b. (6 - p)2 = 47
(6 - p)2 = 47
6 - p = ±√47
-p = -6 ± 47
p = 6 ± 47
p ≈ 6 + 47 or p ≈ 6 - 47
p ≈ 53 or p ≈ -41