Question

What is the answer if equatn x2-4x+2=0 by the method of completing the square?

Answer 1

Follow these steps:

x2-4x+2=0

1) Rearrange the equation by subtracting 2 to both sides of the equal sign:

x2-4x=-2

3) Take 1/2 the second term constant, square it, and add it to both sides.

x2-4x+4=-2+4

4) Note that the expression x2-4x+4 can be factored as a square

(x-2)(x-2)=2

(x-2)^2=2

5) Take the square root of both sides of the equation, remembering that the result can be a positive (+) number or a negative (−) number:

(x-2)=+-2

6) Add 2 to both sides to get your answer:

x = +- 2+2

x = 4, 0

Hope this help!