Question 746932
Your solution for x does not indicate your knowing about Completing the Square.  Showing some of your work for Completing the Square would be better than just showing what x is.


{{{2x^2 = 4x - 5}}}
{{{2x^2-4x+5=0}}}
{{{2*(x^2-2x)+5=0}}}

What must be added to the rectangular expression to make the result into a square expression?  You will need {{{(2/2)^2=1}}}.  Add 1 inside the parentheses and subtract {{{1*2=2}}} outside of the parentheses.  From that, you have other calculations and simplifications.  Your turn.


----I should include, the reason 1 will complete the square is because you have {{{(x^2-2x)}}} as the "rectangular" expression and that is what you want to use in making a square trinomial, which can then be factored.  The "2" used  is the "b" which is generally used as {{{(b/2)^2}}}, the term which is added to Complete the Square.