Non-reduced quadratic equation. Pure quadratic equation.
A quadratic equation is an algebraic equation of the second degree:
a, b, c –
the given numerical or literal coefficients
, x –
If a = 0, then this equation becomes a linear one. Therefore, we’ll consider here only a ≠ 0. So, it is possible to divide all terms of the equation by a and then we receive:
where p=b/a, q=c/a . This quadratic equation is called a reduced one. The equation (1) is called a non-reduced quadratic equation. If b or c (or both) is equal to zero, then this equation is called a pure one. The examples of pure quadratic equations are following: