Question 1173107
x^2+6x+7=0
can complete the square
x^2+6x=-7 first step. Completing the square is taking half of the coefficient of the first power term (3), and squaring it, (9), adding it to both sides
x^2+6x+9=-7+9=2
now the left side is a perfect square
(x+3)^2=2
Take the square root of both sides
x+3=sqrt (2) and x+3=- sqrt(2)
x=-3 +sqrt(2) and x= -3- sqrt (2)
sqrt(2)=1.414
so x=-1.59 and x=-4.41

can check using the quadratic formula, which gives the same result
{{{graph(300,300,-5,5,-5,5,x^2+6x+7)}}}