SOLUTION: solve the equation by completing the square x^2+6x+2=0

Question 134075: solve the equation by completing the square
x^2+6x+2=0
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Step 1: Move the constant term to the right hand side of the equation:

Step 2: Divide the coefficient on the 1st degree term by 2

Step 3: Square the result of Step 2:

Step 4: Add the result of Step 3 to both sides of the equation:

Step 5: The left side of the equation is now a perfect square, so factor it:

Step 6: Take the square root of both sides, remembering to consider both the positive and negative roots:

or

Step 7: Isolate x:

or

Step 8: Check your answers

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