In details

Zeros or roots of the 2nd degree function


Zeros or roots of the 2nd degree polynomial function are called f (x) = ax2 + bx + c, a 0, the real numbers x such that f (x) = 0.

So the roots of the function f (x) = ax2 + bx + c are the solutions of the 2nd degree equation ax2 + bx + c = 0, which are given by the so-called Bhaskara formula:

We have:

Note:

The amount of real roots of a quadratic function depends on the value obtained for the radicating , called discriminant, namely:

  • When It is positive, there are two real and distinct roots;

  • When is zero, there is only one real root (to be more precise, there are two equal roots);

  • When It is negative, there is no real root.

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