Define Discriminant Math

The expression bsup2sup minus 4ac used when solving quadratic equations.

Define discriminant math. Make your child a math thinker the cuemath way. The discriminant of an equation gives an idea of the number of roots and the nature of roots of the equation. Download free discriminant worksheets. Learn and know the meaning of discriminant in math the word discriminant comes in quadratic equations chapter.

Discriminant in mathematics a parameter of an object or system calculated as an aid to its classification or solution. If ax 2 bx c 0 is a quadratic equation then the discriminant of the equation i e. 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. If the discriminant is positive the equation has real roots and if it is negative we have imaginary roots.

These unique features make virtual nerd a viable alternative to private tutoring. If discriminant d is equal to 0 then the equation has one real solution. Virtual nerd s patent pending tutorial system provides in context information hints and links to supporting tutorials synchronized with videos each 3 to 7 minutes long. The discriminant is widely used in factoring polynomials number theory and algebraic geometry.

In the case of a quadratic equation ax 2 bx c 0 the discriminant is b 2 4ac. Illustrated definition of discriminant. Based on discriminant we define nature of roots of a quadratic equations so it is very much needed to know the discriminant meaning. We all know that for finding the roots of quadratic equations there are two methods.

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. D b 2 4ac.