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Fittoniya [83]
3 years ago
9

How many roots can a quadratic equation have

Mathematics
2 answers:
Roman55 [17]3 years ago
7 0

Step-by-step explanation:

It all depends on the discriminants sign.

The quadratic equation:

ax^2+bx+c=0

The discriminant:

\Delta=b^2-4ac

If Δ < 0, then the equation has no real solution

If Δ = 0, then the equation has one solution x=\dfrac{-b}{2a}

If Δ > 0, then the equation has two different solution

x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

Llana [10]3 years ago
3 0

Answer:

2 roots, 1 root, or no roots

Step-by-step explanation:

There is a maximum of two roots

If the maximum or minimum is on the x-axis there is 1 repeated root

The roots are imaginary if it does not touch the x-axis

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