SOLUTION: Could someone please help me with this equation??? Solve the quadratic equation bt completing the square. {{{x^2-6x-3=0}}}

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Question 100447: Could someone please help me with this equation??? Solve the quadratic equation bt completing the square.


Answer by doukungfoo(195)   (Show Source): You can put this solution on YOUR website!
Solve by completing the square

First move the term without a variable to the other side of the equal sign
In this problem we'll move the 3

Next divide all terms by the number with
In this problem there is a 1 so essential we can skip this step.
But I will show the work just to be clear.



Now take half of the number with x and square it
The number with x in this problem is -6
Half of -6 is -3
-3 squared is 9
Now add 9 to both sides of the equal sign


Next factor the left hand side to convert it to its squared form
The left side of the equation is
this is converts to because

So now our problem looks like this:

Next take the square root of both sides remember that the right side will be
plus or minus the square root


Finally solve for x

and

These are the TWO answers for x

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