Question 18265
"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.
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For finding the type of solution,we use the discriminant(D)
{{{ D = b^2 - 4ac }}}
If
D>0,solutions are real and unequal
D=0,solutions are real and equal
D<0,solutions are imaginary
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In quadratic of form [ax^2+bx+c=0]
the sum of roots is given by
<b>(-b/a)</b>
the product of the roots is given by
<b>(c/a)</b>
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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.
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Hope this helps,
-Prabhat