SOLUTION: 36x^2+18x+1=0 I need help to solve by completing the square

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Question 479425: 36x^2+18x+1=0 I need help to solve by completing the square
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Step 1: Put constant in the RHS:



Step 2: Divide by the lead coefficient:



Step 3: Divide the 1st degree term coefficient by 2, square the result, then add that result to both sides of the equation. Collect terms on the right.





You had better check my arithmetic. It is simply foolish to trust someone you don't know not to make simple arithmetic errors.

Step 4: Factor the perfect square trinomial in the LHS:



Step 5: Take the square root of both sides, remembering to consider both positive and negative roots:



Step 6: Add the opposite of the constant in the LHS to both sides:



Step 7: Apply LCD and add fractions in the RHS:



Step 8: Check your ID. If you were born on or before this date in 1990, go have a beer. Otherwise celebrate in a more age appropriate way.

John

My calculator said it, I believe it, that settles it
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