Question 683905
{{{5(x - 2)^2 = 3}}}


{{{(x - 2)^2 = 3/5}}}


{{{x - 2 = sqrt(3/5)}}} or {{{x - 2 = -sqrt(3/5)}}}


{{{x - 2 = sqrt(3)/sqrt(5)}}} or {{{x - 2 = -sqrt(3)/sqrt(5)}}}


{{{x - 2 = sqrt(15)/5}}} or {{{x - 2 = -sqrt(15)/5}}}


{{{x = 2 + sqrt(15)/5}}} or {{{x = 2-sqrt(15)/5}}}


{{{x = 10/5 + sqrt(15)/5}}} or {{{x = 10/5-sqrt(15)/5}}}


{{{x = (10 + sqrt(15))/5}}} or {{{x = (10-sqrt(15))/5}}}


So the two solutions are {{{x = (10 + sqrt(15))/5}}} or {{{x = (10-sqrt(15))/5}}}