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Lyrx [107]
2 years ago
15

Which is the graph of a quadratic equation that has a negative discriminant?

Mathematics
2 answers:
Andre45 [30]2 years ago
7 0

Answer:

The correct graph is D.

Step-by-step explanation:

Given a quadratic equation :

y=ax^{2}+bx+c

You can find the roots (where the graph intersects the x-axis) applying the following equation :

x1=\frac{-b+\sqrt{b^{2}-4ac}}{2a}

and

x2=\frac{-b-\sqrt{b^{2}-4ac}}{2a}

We define the discriminant as b^{2}-4ac

If b^{2}-4ac>0 then the graph will intersect the x-axis in two points

If b^{2}-4ac=0 then the graph will intersect the x-axis in one point.

Finally, If b^{2}-4ac then the graph won't intersect the x-axis because it will not have real roots.

In this exercise, the graph that doesn't intersect the x-axis is graph D.

Natasha2012 [34]2 years ago
5 0

Answer:

D

Step-by-step explanation:

A negative discriminant indicates that the quadratic equation has no real roots.

Thus the graph does not touch or intersect the x- axis

The only graph that does not touch or intersect the x- axis is the fourth one

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