Question

144=(n+1)^2 this equation should have 2 answers

Answer 1

`~~~(n+1)^2 =144\\\\\implies n+1= \pm√(144)\\\\\implies n+1 = \pm12\\\\\implies n = \pm12 -1\\\\\text{Hence,}~ n = 11 ~\text{and}~ n = -13`

Answer 2

(12)^2=(n+1)^2

12=n+1

12-1=n

n=11

Explanation:

another one

(12)^2-(n+1)^2=0

(12-n-1)(12+n+1)=0

either:-

n=11 or n=-13