SOLUTION: This one's like the other, but a bit different. 3(x-2)^2+1=0 I could tell I need to use the sqare root property but when I look in my textbook for an explanation, I don't undestan

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: This one's like the other, but a bit different. 3(x-2)^2+1=0 I could tell I need to use the sqare root property but when I look in my textbook for an explanation, I don't undestan      Log On


   

Question 91117: This one's like the other, but a bit different. 3(x-2)^2+1=0 I could tell I need to use the sqare root property but when I look in my textbook for an explanation, I don't undestand the + - in figuring it out.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
3%28x-2%29%5E2%2B1=0
3%28x-2%29%5E2=-1 Subtract 1 from both sides

%28x-2%29%5E2=-1%2F3 Divide both sides by 3

x-2=0%2B-sqrt%28-1%2F3%29 Take the square root of both sides

x-2=0%2B-i%2Asqrt%281%2F3%29 Simplify

x=2%2B-i%2Asqrt%281%2F3%29 Add 2 to both sides