Question

Use the method of completing the square to transform the quadratic equation into the equation form (x + p)2 = q.

Answer 1

The correct answer is: A) (x + 2)^2 = 2

Further explanation:

We have to convert the equation into simplest form to complete square

Given equation is:

$6+12x+3x^2=0$

Rearranging the Equation:

$3x^2+12x+6=0$

Dividing the equation by 3 gives us:

$x^2+4x+2= 0$

Subtracting 2 from both sides

$x^2+4x+2-2=0-2$

$x^2+4x=-2$

Here

$x=a\\4x=2ab\\Then\\4x=2(x)(b)\\b=\frac{4x}{2x}$

b=2

So,

Adding (2)^2 on both sides

$(x)^2+4x+(2)^2=-2+(2)^2\\(x+2)^2=-2+4\\(x+2)^2=2$

The correct answer is: A) (x + 2)^2 = 2

Keywords: Completing square, factorization

Learn more about factorization at:

• brainly.com/question/12884373
• brainly.com/question/12896802

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