Question

2x2 + 12x = 54 solve by complete the square.

Answer 1

*2^2

Answer 2

\[x ^{2} + 6x = 27\]
\[x ^{2} + 6x + 9 = 36\]
\[(x + 3)(x + 3) = 36\]
\[(x + 3) ^{2} = 36\]
\[x + 3 = 6\]
\[x = 3\]

Answer 3

you may want divide everything by 2 first

Answer 4

x + 3 = + or - 6

Answer 5

The method to complete the square:
Move the 'non-x' term to the right
Divide the equation by coefficient of x²

Finally, take the coefficient of x, divide it by 2, then square it.
Add this number to both sides of the equation.

2x2 + 12x = 54
x² + 6x = 27

6 divided by 2 then squared = 9

Add 9 to both sides of the equation.
That should give you a good start.

Answer 6

but write it as 3^2 on the left... it will remind you (hopefully) of what the factor is...

(x+3)^2