SOLUTION: This is a question that must be solved by completing the square. The solution must be written in the simplest radical form. So I hope this is the right place for square roots and r

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Question 145906: This is a question that must be solved by completing the square. The solution must be written in the simplest radical form. So I hope this is the right place for square roots and radicals and quadratic stuff. The problem is as follows:
x to the power of 2 - 4x =6 I'd appreciate any help that can be provided. Thanks a lot.

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
x%5E2-4x+=+6 Complete the square in x by adding the square of half the x-coefficient to both sides of the equation. That's %28-4%2F2%29%5E2+=+4
x%5E2-4x%2B4+=+6%2B4 Factor the left side and simplify the right side.
%28x-2%29%5E2+=+10 Take the square root of both sides.
%28x-2%29+=+sqrt%2810%29 or %28x-2%29+=+-sqrt%2810%29 Add 2 to both sides of each solution.
x+=+2%2Bsqrt%2810%29 or x+=+2-sqrt%2810%29