Question 244090
<font face="Garamond" size="+2">


I'll do you one better.  Here is how to complete the square on any quadratic:


Step 1:  Make sure the equation is in standard form.  This one is, so go on.


Step 2:  Add the additive inverse of the constant term to both sides. 


Step 3:  Divide both sides of the equation by the coefficient on *[tex \LARGE x^2]


Step 4:  Divide the coefficient on the first degree term by 2, square the result, then add that result to both sides of the equation.


Step 5:  You will have created a perfect square trinomial in the LHS of the equation.  Factor it.


Step 6:  Take the square root of both sides remembering to consider both the positive and negative root.


Step 7:  Add the additive inverse of the constant term on the left to both sides.


Step 8:  Simplify, remembering to remove pairs of factors of the radicand from under the radical.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
</font>