How do you solve #x^2-3x+3=0# by completing the square?
1 Answer
For
Divide through by the coefficient of
Move the constant to the right hand side.
Add to both sides the square of half the coefficient of
The square of half the coefficient in this case is
So we have:
Convert
We now have :
Collect terms on right hand side:
Taking roots of both sides:
Factoring inside the radical:
where
taking any exact roots and simplifying:
Note:
If this is your first time solving quadratics by completion of the square, it would have been best to choose an equation that had real rather than imaginary roots. This would have been easier to start of with.