Question

Which of the following are solutions to the equation below? Check all that apply. x2 + 4x + 4 = 12 I A. X= 23-2 I B. X= -2/3 - 2 O C. X= -2-3 + 2 O D. x= 2,5+2 I E. X= -2+12 O F. X= 2 +12

Answer 1

1) Since we've been given the equation x²+4x +4=12 then let's solve it to find the roots

2) Applying the resolutive formula

x²+4x +4=12

x²+4x +4-12 =0

x²+4x -8=0

`\begin{gathered} \Delta=b^2-4ac \\ \Delta=(4)^2-4(1)(-8) \\ \Delta=16\text{ +32=48} \\ \frac{-b\pm\sqrt[]{\Delta}}{2a} \\ \frac{-4\pm\sqrt[]{48}}{2} \\ x_1=-2+2\sqrt[]{3} \\ x_2=-2-2\sqrt[]{3} \end{gathered}`