Fourx^2+12x+9=4

Question

complete the square using the square root property

Answer 1

4x^2 +12x + 9 = 4

x^2 + 3x + 9/4 = 4-9 + 9/4 = - 2 3/4

(x+3/2)^2 = -11/4

x+3/2 = + or 1 (1/2)i sqr11

x = -3/2 + or - i/2(sqr11)

Unless "FOUR" refers to the number of the problem and not a coefficient of the x^2 term,

then

x^2 +12x = -5

x^2 +12x + 36 =-5+36 = 31

(x+6)^2 = 31

x+6 = + or - sqr31

x = -6 + or - sqr31