# What is the relationship between the of b squired -4ac to the roots of the quadratic equation

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by jong

## Answers

2014-07-10T20:13:17+08:00

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is used to determined the nature of the roots of a quadratic equation. It is called the discriminant.

If discriminant      = 0  , then the roots are rational and equal
<0  (negative), then the equation has two distinct unreal roots
>0  (positive), then the equation has two real roots
↳ if it's a perfect square, then the roots are rational, otherwise, the roots are irrational
HOW YOU GET THAT answer
b^2 -4ac is the one inside the square root sign in the quadratic formula. That is what makes it essential in determining the nature of the roots.