Question 154198


{{{400(x-1)^2=225}}} Start with the given equation.



{{{(x-1)^2=(225)/(400)}}} Divide both sides by {{{400}}}.



{{{(x-1)^2=9/16}}} Reduce.



{{{x-1=0+-sqrt(9/16)}}} Take the square root of both sides.



{{{x-1=sqrt(9/16)}}} or {{{x-1=-sqrt(9/16)}}} Break up the "plus/minus" to form two equations.



{{{x-1=3/4}}} or {{{x-1=-3/4}}}  Take the square root of {{{9/16}}} to get {{{3/4}}}.



{{{x=1+3/4}}} or {{{x=1-3/4}}} Add {{{1}}} to both sides.



{{{x=7/4}}} or {{{x=1/4}}} Combine like terms.



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Answer:



So the solutions are {{{x=7/4}}} or {{{x=1/4}}}.