use completing the square to find the equivalent equation for the equation x2 + 8x +19=0
+130518 x^2 + 8x +19=0
To complete the square.....take 1/2 of the coefficient on x ......so (1/2)8 = 4
Square this = 16
Add it and subtract it....so we have....
x^2 + 8x + 16 + 19 - 16 = 0 factor the first three terms
(x + 4)^2 + 19 - 16 = 0 simplify
(x + 4) ^2 + 3 = 0
That's it !!!!.......you should verify that expanding this back out will give you the original equation....
