Quadratic Equation

Quadratic Equation

Quadratic Equation

Only if it can be put in the form ax2 + bx + c = 0, and a is not zero.

The name comes from "quad" meaning square, as the variable is squared (in other words x2).

The solution(s) to a quadratic equation can be calculated using the Quadratic Formula:

x = [ -b plus minus square root of (b^2-4ac) ] / 2a

The "±" means we need to do a plus AND a minus, so there are normally TWO solutions !

The blue part (b2 - 4ac) is called the "discriminant", because it can "discriminate" between the possible types of answer:

  • when it is positive, we get two real solutions,
  • when it is zero we get just ONE solution,
  • when it is negative we get complex solutions.


Modifié le: jeudi 23 avril 2020, 13:04