Question

Solve x^2 + 6x - 5 = 0 by completing the square.
Which equation is used in the process?

Answer 1

add 5 to both sides and get
\[x^2+6x=5\] then take half of 6 namely 3, square it and get 9 and write
\[(x+3)^2=5+9\] or
\[(x+3)^2=14\] take the square root of both sides, don't forget the \(\pm\) and get
\[x+3=\pm\sqrt{14}\] and finally solve for \(x\) to get
\[x=-3\pm\sqrt{14}\]