SOLUTION: x2-2x=48....i have to solve for x by completing the square..how do you do this? ^(squared)

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Question 570028: x2-2x=48....i have to solve for x by completing the square..how do you do this?
^(squared)
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Step 1. Move the constant term to the right hand side. This step is already done.

Step 2. Divide through by the lead coefficient. The lead coefficient in this problem is 1, so you can skip this step.

Step 3. Divide the coefficient on the first degree term by 2. In this case, 2 divided by 2 is 1.

Step 4. Square the result of Step 3. 1 squared is 1.

Step 5. Add the result of Step 4 to both sides of the equation.



Step 6. Factor the perfect square trinomial in the LHS:



Step 7. Take the square root of both sides, considering both the positive and negative root:



So



or



Step 8. Solve the two linear equations to get your two roots.

John

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