SOLUTION: I need to know how the signs of A and C (in the quadratic equation: Ax^2+bx+c=0) provide clues as to the number of possible solutions in a quadratic equation. Thanks in advanc

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Question 18265: I need to know how the signs of A and C (in the quadratic equation: Ax^2+bx+c=0) provide clues as to the number of possible solutions in a quadratic equation.

Thanks in advance!
Answer by xcentaur(357) About Me  (Show Source):
You can put this solution on YOUR website!
"the number of possible solutions" of a quadratic is 2.
Only two.
If both roots are equal,even then it is a quadratic having two solutions.


For finding the type of solution,we use the discriminant(D)
+D+=+b%5E2+-+4ac+
If
D>0,solutions are real and unequal
D=0,solutions are real and equal
D<0,solutions are imaginary


In quadratic of form [ax^2+bx+c=0]
the sum of roots is given by
(-b/a)
the product of the roots is given by
(c/a)


The number of roots will always be 2,never more,never less. Obviously we need to know ABC to calculate the roots. And A can never be equal to zero,as this would make the quadratic void.


Hope this helps,
-Prabhat