The IsQuadraticFormula command returns true when the input expr matches the quadratic formula.

The quadratic formula can be written in many subtly different ways, including use of &+- as opposed to ±, and use of different variable names.  This command helps to identify input steps that match a declared unevaluated quadratic formula with symbols for a, b, and c.  

This command is used by Grading:-SolveFeedback to identify a step in a solution input that matches the quadratic formula.

$\mathrm{with}\left(\mathrm{Grading}\right)\:$

$\mathrm{IsQuadraticFormula}\left(\frac{\left(-'b'\right)\pm \left(\mathrm{sqrt}\left({'b'}^2-4'a''c'\right)\right)}{2'a'}\right)$

$\mathrm{true}$

$\mathrm{IsQuadraticFormula}\left(\frac{\left(-'B'\right)\pm \left(\mathrm{sqrt}\left({'B'}^2-4'A''c'\right)\right)}{2'A'}\right)$

$\mathrm{true}$

The Grading:-IsQuadraticFormula command was introduced in Maple 2021.

For more information on Maple 2021 changes, see Updates in Maple 2021.