m²-3m-1=0 by completing square method
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m²-3m -1=0
comparing the given equation with ax²+but+c=0......... general form of the quadratic equation.
therefore a= 1,b=-3 and c=-1
third term= (b/2) ²
= (-3/2) ²
=9/4
m²-3m+9/4-9/4-1=0
(m+3/2) ²-9/4-1=0
(m+3/2) ²-9-4/4=0
(m+3/2) ²=13/4
m+ or - 3/2=√13/2.
therefore, m= √13-3/2
or m= √13+3/2
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