Question 211918
This is from a chapter on solving a quadratic equation by compleating a square. Please help me solve.

{{{(4)/(m^2-7)=1}}}


We proceed by completing the square to solve this equation


{{{m^2 - 7 = 4}}} -------> Cross-multiplying

{{{m^2 = 11}}} ------> Add 7 to both sides of equation

b = 0, so there is no halving "b" and then squaring the result, so move on to next step

{{{sqrt(m^2) =_+-sqrt(11)}}}

{{{m = _+sqrt(11)_or_-sqrt(11)}}}


Therefore, m = {{{highlight_green(3.31662479)}}} or {{{highlight_green(-3.31662479)}}}