Question 537000

{{{(x+6)^2=14}}} Start with the given equation.



{{{x+6=""+-sqrt(14)}}} Take the square root of both sides.



{{{x+6=sqrt(14)}}} or {{{x+6=-sqrt(14)}}} Break up the "plus/minus" to form two equations.



{{{x=-6+sqrt(14)}}} or {{{x=-6-sqrt(14)}}} Subtract {{{6}}} from both sides.



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Answer:



So the solutions are {{{x=-6+sqrt(14)}}} or {{{x=-6-sqrt(14)}}}.



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