SOLUTION: solve by completing the square x^2-4x=10 x= type exact answer using radicals as needed

Question 353786: solve by completing the square
x^2-4x=10
x=
type exact answer using radicals as needed
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Step 1: Divide by the lead coefficient. Your lead coefficient is 1, so you don't have to do anything for step 1.

Step 2: Put the constant term in the RHS. Your constant term is already in the RHS, so you don't have to do anything for step 2 either.

Step 3: Divide the first degree term coefficient by 2, square the result, and add that result to both sides of the equation. (-4 divided by 2 is -2. -2 squared is 4)

Step 4: Your LHS will now be a perfect square. Factor it.

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

Step 6: Add the opposite of the constant term in the LHS to both sides and then simplify the RHS (if possible - look for perfect square factors in the radicand).

John

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