##### 22.5 Solving quadratic equations using the quadratic formula

### Solving quadratic equations using the quadratic formula

Not sure if you should solve the quadratic equation by factoring or completing the square? No worries. You can always use the quadratic formula. The beauty of the quadratic formula is that it can always give you the answer no matter if the quadratic equations can be factored or not.

#### Lessons

###### Notes:

__Quadratic Formula__

For the quadratic equation: $a{x^2} + bx + c = 0$

the solutions are: $x = \frac{{ - b\; \pm \;\sqrt {{b^2} - 4ac} }}{{2a}}$

__Quadratic Formula__