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Why is the discriminant useful?

1 Answer

Mar 23, 2018

To determine how many roots are there in a quadratic equation.

Explanation:

There are 4 natures

#b^2-4ac>0# and is a perfect square -># 2 rational roots

#b^2-4ac>0# and is not a perfect square #-># 2 irrational root
#b^2-4ac=0 -># 1 root
#b^2-4ac <0# No root

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