SOLUTION: okay this problem says to solve by completing the square, but the odd numbers are throwing me off, and this problem is not to be graphed, so no problem on here really helped me, th

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Question 128955: okay this problem says to solve by completing the square, but the odd numbers are throwing me off, and this problem is not to be graphed, so no problem on here really helped me, the problem is:

1x(1x)+11x-6=0
any help on how to solve it would be greatly appreciated, this is for a college algebra course

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!
I think you mean

Step 1: Add the additive inverse of the constant term to both sides. For this problem, add 6 to both sides:



Step 2: Divide through by the coefficient on the term. For this problem, that is 1, so you don't have to do anything.

Step 3: Divide the coefficient on the term by 2. For this problem, that becomes .

Step 4: Square the result of step 3. For this problem:

Step 5: Add the result of step 4 to both sides of the equation. For this problem:







Step 6: Factor the left:



Step 7: Take the square root of both sides:

or

or

Yes, these numbers are a horror, but certainly prettier than what you generally encounter in real life situations. By the way, is reduced to simplest terms because there are no perfect square factors of 145 -- the prime factorization is 5 * 29.

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