Home Calculators Mobile Apps Math Courses Math Games

Math Help List-  

Voted as Best Calculator:

Percentage Calculator

Quadratic Equation


Definition:

     A quadratic equation consists of a single variable of degree 2 , of the form : maths quadratic equation general form algebra math ,where a ≠ 0.

   The roots of the equation are given by:

quadratic equation positive solution         quadratic equation negative solution

Discriminant:



      The term underneath the square root sign:     discriminat of the quadratic eqation in algebra maths     is called the discriminant of the quadratic equation.

    1.If the discriminant is positive, there are two distinct roots, both of which are real numbers.

    2.If the discriminant is zero, there is exactly one root:

general formula of the only root of the quadratic equation when the discriminat is zero formula in algebra math

 

    3.If the discriminant is negative, there are no real roots. There are two distinct non-real complex roots, which are complex conjugates of each other:

 

complex root of the quadratic equation formula when the discriminant is negative in algebra maths        complex root of the quadratic equation formula when the discriminant is negative in algebra maths    where i is the imaginary unit.

 

Viète's formulas give a simple relation between the roots of a polynomial and its coefficients. In the case of the quadratic polynomial, they take the following form:

viete sum formula for the quadratic equation solution in algebra math          viete product formula for the quadratic equation solution in algebra math 


Privacy Policy Contact Us

Copyright (c) 2006-2016 SolveMyMath. All rights are reserved.