(-1±√(1-4BC))/2 for the first one and for the rest replace BC with AC and ABWhat are the roots of the given equations?
Under what conditions, the given quadratic will have(-1±√(1-4BC))/2 for the first one and for the rest replace BC with AC and AB
If 4BC will be greater than equal to 1 then real roots and if less than 1 imaginary rootsUnder what conditions, the given quadratic will have
real roots
Imaginary roots?
Sorry I messed it up ..I typed the wrong statement..I do know about the nature of roots and the properties of determinantsLet's see if I understand what you are saying. Assume 4BC>1. Then 1 - (more than 1) is positive, making the root reals??
Good, so please state the nature of the roots. Hint- sometimes you get exactly one real root (when?), sometimes you get two two real roots (when) and other times you get two imaginary roots (when?).Sorry I messed it up ..I typed the wrong statement..I do know about the nature of roots and the properties of determinants
Yes exactly..?Sorry, but I did not think that you meant discriminant when you wrote determinants
If a quadratic is given the. It is implied that there will be 2 rootsYou really should say how many roots.
Saying D>0 implies Real distinct roots does not say that there are exactly two distinct roots.
Not if there is one root.If a quadratic is given the. It is implied that there will be 2 roots
By the Fundamental Theorem of Algebra if a polynomial has n as it's highest power, then it will have n roots, where a root can be repeated.Not if there is one root.
You are absolutely correct but most of us have a tendency to write 1 root if the root is repeated.By the Fundamental Theorem of Algebra if a polynomial has n as it's highest power, then it will have n roots, where a root can be repeated.