Follow the process of completing the square to solve x2 = -4x + 3.

Which of the following equations is used in this process?

A)(2x + 4)2 = 12
B)(2x + 4)2 = 19
C)(2x + 4)2 = 28

Respuesta :

it would be a because 2x one x means times one and 4x3 equals 12 so it would be A

Answer:

C

Step-by-step explanation:

The steps to solving the equation would be the simple. The previous step would:

[tex](2\cdot{x}+4)^2=28[/tex]

If we multiply the brackets:

[tex]4\cdot{x^2}+16\cdot{x}+16=28[/tex]

[tex]4\cdot{x^2}+16\cdot{x}=28-16[/tex]

[tex]4\cdot{x^2}+16\cdot{x}=12[/tex]

[tex]4\cdot{x^2}=-16\cdot{x}+12[/tex]

We dividing the whole equation by 4:

[tex]x^2=-4\cdot{x}+3[/tex]

The answer is C