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


Sagot :

[tex] b^{2} -4ac [/tex]

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