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Completing the Square for Negative Constant Term
If:
$$b^2-4ac>0$$
then:
$$ax^2+bx+c=a\left[\left(x+\frac{b}{2a}\right)^2-\frac{b^2-4ac}{4a^2}\right]$$
Usage
- Used when the quadratic factors into real linear terms.
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Completing the Square for Negative Constant Term
If:
$$b^2-4ac>0$$
then:
$$ax^2+bx+c=a\left[\left(x+\frac{b}{2a}\right)^2-\frac{b^2-4ac}{4a^2}\right]$$
Usage
- Used when the quadratic factors into real linear terms.
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