Question 156728
Is the equation {{{(x - 3)^2 = 49}}}



{{{(x-3)^2=49}}} Start with the given equation.



{{{x-3=0+-sqrt(49)}}} Take the square root of both sides. Note: don't forget the "plus/minus"



{{{x-3=sqrt(49)}}} or {{{x-3=-sqrt(49)}}} Break up the "plus/minus" to form two equations.



{{{x-3=7}}} or {{{x-3=-7}}}  Take the square root of {{{49}}} to get {{{7}}}.



{{{x=3+7}}} or {{{x=3-7}}} Add {{{3}}} to both sides.



{{{x=10}}} or {{{x=-4}}} Combine like terms.



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Answer:



So the solutions are {{{x=10}}} or {{{x=-4}}}.