Oct 21 The Discriminant
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1 Question If 3 is one root of x 2 + x + c = 0, find the other root and the value of c.
Transcript of Oct 21 The Discriminant
- 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