SOLUTION: What is x^2+8x+6=0 using the completing the square method

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Question 1059138: What is x^2+8x+6=0 using the completing the square method
Found 3 solutions by josgarithmetic, josmiceli, ikleyn:
Answer by josgarithmetic(39623)   (Show Source): You can put this solution on YOUR website!
You have a rectangle of area and the missing square piece, if a piece from the rectangle is appropriately rearranged, is . Add this to both sides of your equation, and simplify, and solve for x.
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!


Take 1/2 of the coefficient of ,
square it, and add it to both sides
----------------------------------



Take the square root of both sides


and, also, taking the negative square root of ,


---------------------------
check:





OK
You can check the other answer
Answer by ikleyn(52833)   (Show Source): You can put this solution on YOUR website!
.
What is x^2+8x+6=0 using the completing the square method
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

1.  First let us complete the square:

     =  =  = .


2.  Having this, you can re-write the original equation as

     = 0,   or

     = .

    Take the square root from both sides:

    x + 4 = +/-,  or

    x = .

The equation is solved.
The assignment is completed.

On completing the square see the lessons
    - Introduction into Quadratic Equations
    - PROOF of quadratic formula by completing the square
in this site.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this textbook under the topic "Quadratic equations".


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