Question

please explain in steps please :))))

Use the technique of completing the square to transform the quadratic equation below into the form (x + c)2 = a.

4x2 + 16x + 12 = 0

answer choices:
(x + 4)2 = -1 (x + 16)2 = -1
(x + 16)2 = 1 (x + 2)2 = 1

Answer 1

first factor out a 4 to get
\[4(x^2+4+3)=0\]
divide both sides by 4 to get \[x^2+4+3=0\] then add 1 to both sides to get \[x^2+4x+4=1\] then you have a perfect square.. \[(x+2)^2=1\]

Answer 2

thank you :)))

Answer 3

you are welcome:)