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konstantin123 [22]
4 years ago
6

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

Mathematics
1 answer:
ryzh [129]4 years ago
6 0

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

#LearnwithBrainly

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