Question

is this correct:

solve:

5(x-2)^2=3

My answer:

(10 +/- sqrt 15)/(5)

looks like you expanded, then used the formula and you got the right answer properly reduced.
I think you are getting this!!!

I don't want to confuse you but I would have done the following:

(x-2)^2 = 3/5
x-2 = +/- sqrt(3)/sqrt(5)
x = 2 +/- sqrt(3/5)

test it with a calculator, you'll get the same decimal answer.

so my answer should like your or mine?