Respuesta :

apologiabiology
completing the square
alrighty
minus 31 both sides
x²+12x=-31
take 1/2 of the linear coefient and square it
12 is the linear coefient
12/2=6, (6)²=36
add that to both sides
x²+12x+36=36-31
factor perfect square trinomial
(x+6)²=5
square root both sides, remember to take positive and negative root

x+6=+/-√5


so what you want to write is
x+6=√5 and
x+6=-√5

the solutions
minus 6 both sides

x=-6+√5 and -6-√5

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