Answer:
(2x+4)^2 = 28
Step-by-step explanation:
[tex]x^2 = -4x + 3[/tex]
to apply completing the square method we need x terms on one side
add 4x on both sides
[tex]x^2+4x = 3[/tex]
Now we take the coefficient of x term and divide by 2
4 divide by 2 is 2
Now we square it (2)^2 = 4
In completing the square method, we add that number on both sides
[tex]x^2+4x+4 = 3+ 4[/tex]
Now we factor x^2 + 4x + 4
(x+2)(x+2) = 7
(x+2)^2 = 7
(x+2)(x+2) = 7
Multiply both sides by 4
2(x+2) * 2(x+2) = 7* 4
(2x+4)(2x+4) = 28
(2x+4)^2 = 28
