Discriminant Definition Math Example

The discriminant is widely used in factoring polynomials number theory and algebraic geometry.

Discriminant definition math example. The expression bsup2sup minus 4ac used when solving quadratic equations. Discriminant in mathematics a parameter of an object or system calculated as an aid to its classification or solution. The discriminant is the name given to the expression that appears under the square root radical sign in the quadratic formula where and are the numbers in the general form of a quadratic trinomial. We all know that for finding the roots of quadratic equations there are two methods.

For a quadratic polynomial ax 2 bx c the formula of discriminant is given by the following equation. D b 2 4ac. Discriminant definition in math. Based on discriminant we define nature of roots of a quadratic equations so it is very much needed to know the discriminant meaning.

D b 2 4ac. If discriminant d is equal to 0 then the equation has one real solution. The discriminant of an equation gives an idea of the number of roots and the nature of roots of the equation. The discriminant tells us whether there are two solutions one solution or no solutions.

Make your child a math thinker the cuemath way. If the discriminant is positive the equation has real roots and if it is negative we have imaginary roots. In mathematics the discriminant of a polynomial is a quantity that depends on the coefficients and determines various properties of the roots the discriminant of a polynomial is generally defined in terms of a polynomial function of its coefficients. The discriminant is the part of the quadratic formula underneath the square root symbol.

The discriminant of a polynomial is a function of its coefficients which gives an idea about the nature of its roots. If ax 2 bx c 0 is a quadratic equation then the discriminant of the equation i e. In the case of a quadratic equation ax 2 bx c 0 the discriminant is b 2 4ac. For a cubic equation x 3 ax 2 bx c 0 the discriminant is a 2 b 2 18abc 4b 3 4a 3 c 27c 2 the roots of a quadratic or cubic equation with real coefficients are real.

Illustrated definition of discriminant. Download free discriminant worksheets.