SOLUTION: What is the least number of zeros of quadratic equation, when coefficients are real

Question 1061745: What is the least number of zeros of quadratic equation, when coefficients are real
Found 2 solutions by stanbon, ikleyn:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Every quadratic equation has two zeroes.
If b^2-4ac = 0 the two zeroes are equal.
Cheers,
Stan H.
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Answer by ikleyn(52779)   (Show Source): You can put this solution on YOUR website!
.
On quadratic equations, on solving quadratic equations, on the quadratic formula see the lessons
    - Introduction into Quadratic Equations
    - PROOF of quadratic formula by completing the square
in this site.

A quadratic equation with real coefficients can have two, one or NO real zeros.
It is the discriminant of a quadratic equation who determines how many real roots the equation has.

These issues are discussed in the referred lessons.

If you look for the roots of the quadratic equation over the complex numbers, then there are two roots.
Sometimes the two roots can merge into one.
Again, it is the discriminant of the equation who determines it.

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