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Solution-count and discriminant analysisTactic

Tactic

Solution-count and discriminant analysis

Collect everything on one side, then read one sign

10 min 6 stepsGraded practice at the end

The SAT hides this count inside equations nobody has tidied up. I've hidden things in messier places, mostly pencils in my shell.

Meet it
Spot it
Run it
Dodge the traps
Play with it
Prove it

The first step is free. A free account opens the rest.

Calls on

Quadratic formula and discriminantTechniqueCollect to zero, read a, b, and c, then solve or count
SubstituteTechniqueSwap in the value, parentheses and all
Inequality manipulationTechniqueSolve like an equation; flip for negatives

Other routes

Graph it (Desmos)TacticTurn the question into a point you can click