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x2 + 8x + 4 = 0
| Step 1: Write the quadratic in the correct form, it must be in descending order and equal to zero. |
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Step 2: Fill in the first blank by taking the coefficient (number) from the x-term (middle term) and cutting it in half and squaring it. Fill in the second blank with the same number. In this case:![]() |
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| Step 3: Factor the part in parenthesis and combine like terms for the numbers outside of the parenthesis. Note: The part in parenthesis will always factor into half of the coefficient (number) from the x-term (middle term). In this case, half of +8 is +4. |
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| Step 4: Now you are done completing the square and it is time to solve the problem. First add 12 to both sides. |
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| Step 5: Use the square root property and take the square root of each side, don’t forget the plus or minus. |
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| Step 6: Subtract 4 from each side. |
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| Step 7: Check to determine if you can simplify the square root, in this case we can. So the final answer is: |
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