Question 99090
{{{2(x-5)^2=3}}} Start with the given equation



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



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



{{{x=5+-sqrt(3/2)}}} Add 5 to both sides



Now break down the equation into two parts



{{{x=5+sqrt(3/2)}}} or {{{x=5-sqrt(3/2)}}} (note:  this is the exact answer)




The approximate answer is roughly:



{{{x=6.22474487139159}}} or {{{x=3.77525512860841}}}