Question 201982


{{{(x+3)^2=5}}} Start with the given equation.



{{{x+3=""+-sqrt(5)}}} Take the square root of both sides.



{{{x+3=sqrt(5)}}} or {{{x+3=-sqrt(5)}}} Break up the "plus/minus" to form two equations.



{{{x=-3+sqrt(5)}}} or {{{x=-3-sqrt(5)}}} Subtract {{{3}}} from both sides.



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Answer:



So the solutions are {{{x=-3+sqrt(5)}}} or {{{x=-3-sqrt(5)}}}.