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Quadratic Equation
Definition:
A quadratic equation consists of a single variable of degree 2 , of the form : 
,where a ≠ 0.
The roots of the equation are given by:
Discriminant:
The term underneath the square root sign: 
is called the discriminant of the quadratic equation.
1.If the discriminant is positive, there are two distinct roots, both of which are real numbers.
2.If the discriminant is zero, there is exactly one root:
3.If the discriminant is negative, there are no real roots. There are two distinct non-real complex roots, which are complex conjugates of each other:
where i is the imaginary unit.
Viète's formulas give a simple relation between the roots of a polynomial and its coefficients. In the case of the quadratic polynomial, they take the following form:
