Question 188517


{{{(5x+4)^2=100}}} Start with the given equation.



{{{5x+4=0+-sqrt(100)}}} Take the square root of both sides.



{{{5x+4=sqrt(100)}}} or {{{5x+4=-sqrt(100)}}} Break up the "plus/minus" to form two equations.



{{{5x+4=10}}} or {{{5x+4=-10}}}  Take the square root of {{{100}}} to get {{{10}}}.



{{{5x=-4+10}}} or {{{5x=-4-10}}} Subtract {{{4}}} from both sides.



{{{5x=6}}} or {{{5x=-14}}} Combine like terms.



{{{x=6/5}}} or {{{x=-14/5}}} Divide both sides by {{{5}}} to isolate {{{x}}}.



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Answer:



So the solutions are {{{x=6/5}}} or {{{x=-14/5}}}.