Question

Solve the equation by completing the square: x2 - 6x = -4.

Answer 1

now we complete the square

Answer 2

half of -6 is -3 and (-3)^2=9 so write
\[(x-3)^2=-4+9=5\]

Answer 3

then
\[x-3=\pm\sqrt{5}\]
\[x=3\pm\sqrt{5}\]

Answer 4

sweeet!

Answer 5

and short!