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

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by jong

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by jong

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

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