Question 191134
x^2+6x+5=0
x^2+6x  =-5
x^2+6x+9=-5+9 divide 6 by 2 and square the result. 6/2=3, 3^2=9, add 9 to both sides. the 9 completes the square on the left hand side.
(x+3)^2=4
x+3=+-2 take the sqrt of each side.
x=-3+-2
x=-1, x=-5
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Ed