Question 675129
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Hi
x2+12x-5=0
x2+12x = 5
4x2+48x = 20
4x2+48x+144 = 164 
{{{sqrt((2x+12)(2x+12))}}} = ħ sqrt(164)
      2x + 12 = 2sqrt(41)
           x = -6 +sqrt(41)
      2x + 12 = -2sqrt(41)
            x = -6 -sqrt(41)

Checking using 'Completing the Square'
(x+6)^2 = 5 + 36
   x+6 =  ħsqrt(41)
    x = -6 ħsqrt(41)