Question 102584
{{{5(x-2)^2=3 }}} Start with the given equation



{{{(x-2)^2=3/5 }}} Divide both sides by 5



{{{x-2=0+-sqrt(3/5) }}} Take the square root of both sides



{{{x-2=0+-sqrt(3)/sqrt(5)}}} Break up the root



{{{x-2=(sqrt(3)/sqrt(5))(sqrt(5)/sqrt(5)) }}} Multiply the right side by {{{sqrt(5)/sqrt(5)}}}


{{{x-2=0+-sqrt(15)/5 }}} Combine the roots and multiply



{{{x=2+-sqrt(15)/5}}} Add 2 to both sides




{{{x=(10+-sqrt(15))/5}}} Combine the two fractions



So our answer is {{{x=(10+-sqrt(15))/5}}} which means our answer is B