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Maths
Quadratic Equation
A general quadratic equation is of the general form:
ax2 + bx + c = 0,
where a, b and c are constants and a 0.
The values of x which satisfy the above equation are called the roots of the equation. They are found using this equation:
b2 - 4ac is called the discriminant of the equation (symbol ). When:
> 0, the roots will be real and different
= 0, the roots will be real and equal
< 0, the roots will be complex
The roots of a quadratic equation are denoted by the Greek letters and . The following can then be assumed:
and
and the quadratic equation can then be re-written as:
.
The following useful results can used when analysing roots of a quadratic:



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