Question 189894


{{{8k^2=98}}} Start with the given equation.



{{{k^2=(98)/(8)}}} Divide both sides by {{{8}}}.



{{{k^2=49/4}}} Reduce.



{{{k=""+-sqrt(49/4)}}} Take the square root of both sides.



{{{k=sqrt(49/4)}}} or {{{k=-sqrt(49/4)}}} Break up the "plus/minus" to form two equations.



{{{k=7/2}}} or {{{k=-7/2}}}  Take the square root of {{{49/4}}} to get {{{7/2}}}.



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Answer:



So the solutions are {{{k=7/2}}} or {{{k=-7/2}}}.