Download pdf - Oct 21 The Discriminant

Transcript
  • 1. QuestionIf3isonerootofx2+x+c=0,findtheotherroot andthevalueofc.1

2. TheDiscriminant TheNatureofRoots b24ac Fromthequadraticformulaisknownasthediscriminant.Itallowsustodetermineiftherootsarerealorimaginary.Iftherootsarerealitalsoallowsustodetermineifthereareoneortwo roots.2 3. b24ac>0 TherearetworootsIfb24acisaperfectsquaretherootsarerationalIfb24acisnotaperfectsquaretherootsare irrational 3 4. b24ac=0 ThenthereisonlyonerealrootThefunctiononlycrossesthexaxisatthevertexofthe parabola 4 5. b24ac