Marcus wants to solve the equation 100 + (n - 2)^2 = 149 to find its two solutions. What is the first step he should take to solve for N?

Question

A. Subtract 100 from both sides of the equation

B. Subtract 149 from both sides of the equation

C. Add 2 to both sides of the equation

D. Take the square root of both sides of the equation

Give an explanation as to why you picked which answer

Answer 1

A. Subtract 100 from both sides, in order to isolate the squared term, so you can then take the square root of both sides next to get (n-2)^2 = 49 n-2=+ or -7, n= 9 or -5

100+(9-2)^2 = 149

100+49 = 149

100+(-5-2)^2 = 149

100+ 49 = 149