Real Roots

Conditions for a quadratic equation to have real roots

For a quadratic equation to have real roots, discriminant must be more than or equal 0. Note the emphasize on “more than or equal to”. Set up this equality and solve it, you will get the answer. One important thing to note is that for real roots, it also means that a line intersects a given curve. (This tells you it could either intersect at 1 point or two points)

Now that you better understand on how discriminant can be used to relate to a line and a curve, let’s proceed to learn about quadratic graph and its coefficient when a is more than 0.

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