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Completing the Square for Positive Constant Term
If:
$$4ac-b^2>0$$
then:
$$ax^2+bx+c=a\left[\left(x+\frac{b}{2a}\right)^2+\frac{4ac-b^2}{4a^2}\right]$$
Usage
- Used to identify the inverse-tangent form of a quadratic integral.
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Completing the Square for Positive Constant Term
If:
$$4ac-b^2>0$$
then:
$$ax^2+bx+c=a\left[\left(x+\frac{b}{2a}\right)^2+\frac{4ac-b^2}{4a^2}\right]$$
Usage
- Used to identify the inverse-tangent form of a quadratic integral.
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