Question 173122
{{{4/(m^2-7) = 1}}} Start with the given equation



{{{4 = m^2-7}}} Multiply both sides by {{{m^2-7}}}



{{{4+7 = m^2}}} Add 7 to both sides.



{{{11 = m^2}}} Add



{{{m^2=11}}} Rearrange the equation



{{{m=0+-sqrt(11)}}} Take the square root of both sides.



{{{m=sqrt(11)}}} or {{{m=-sqrt(11)}}} Break up the "plus/minus" to form two equations.



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Answer:



So the solutions are {{{m=sqrt(11)}}} or {{{m=-sqrt(11)}}}.