The square of the sum of a number and six is 81

Question

Please help me with this word problem 

Answer 1

n = the number

 

n + 6 = sum of the number and 6

 

(n + 6)² = the square of the sum of the number and 6

 

(n + 6)² = 81  [given in the problem statement]

 

Solve for n.

 

n + 6 = √81 = ±9

 

Two solutions:

 

(1)

 

n + 6 = 9

n = 9 - 6 = 3

 

(2)

 

n + 6 = -9

 

n = -9 - 6 = -15

Answer 2

(x + 6)² = 81