Question

quadratic equation X2+6x+6=0
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Answer 1

Answer:

Subtract  6  from both side of the equation :

  x2+6x = -6

Now the clever bit: Take the coefficient of  x , which is  6 , divide by two, giving  3 , and finally square it giving  9  

Add  9  to both sides of the equation :

 On the right hand side we have :

  -6  +  9    or,  (-6/1)+(9/1)  

 The common denominator of the two fractions is  1   Adding  (-6/1)+(9/1)  gives  3/1  

 So adding to both sides we finally get :

  x2+6x+9 = 3

Adding  9  has completed the left hand side into a perfect square :

  x2+6x+9  =

  (x+3) • (x+3)  =

 (x+3)2

Things which are equal to the same thing are also equal to one another. Since

  x2+6x+9 = 3 and

  x2+6x+9 = (x+3)2

then, according to the law of transitivity,

  (x+3)2 = 3

Step-by-step explanation: