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Please explain completing the square method …

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Please explain completing the square method urgently
  • 2 answers

Srivinayak V 7 years ago

This was really helpfull.... it would rather good if u show an example

Gaurav Seth 7 years ago

x2 + 8x + 4 = 0 
 

Step 1: Write the quadratic in the correct form, it must be in descending order and equal to zero.

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: 

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.

Step 4: Now you are done completing the square and it is time to solve the problem. First add 12 to both sides.

Step 5: Use the square root property and take the square root of each side, don’t forget the plus or minus.

Step 6: Subtract 4 from each side.

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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