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.

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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

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