Discriminant
b²-4ac
The discriminant is a mathematical concept used in quadratic equations. It is a formula used to determine the nature of the solutions of a quadratic equation. The formula for the discriminant is:
b^2 – 4ac
where a, b, and c are the coefficients of a quadratic equation in the form ax^2 + bx + c = 0.
The discriminant can have three different values:
1. If the discriminant is positive, then the quadratic equation has two distinct real solutions.
2. If the discriminant is zero, then the quadratic equation has one real solution (called a double root).
3. If the discriminant is negative, then the quadratic equation has two complex (or imaginary) solutions.
In other words, the discriminant helps us predict the number and nature of solutions (real, double or complex) to a quadratic equation.
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