The Quadratic Formula
The quadratic formula states that
If y = at^2 + bt + c, then y = 0 if and only if
t = [-b +- `sqrt(b^2-4ac)] / (2a).
This complete statement must be memorized, and does frequently occur as a question on tests. Only the complete statement, in its full logical 'if-then' form, will be given credit.
Important Note: It follows from the Quadratic Theorem that if you have an equation of the form
a t^2 + b t + d = f,
you can subtract f from both sides and get the equation into the form a t^2 + b t + c = 0.
Only in this form does the quadratic formula apply.