OnlineMSchool
Study of mathematics online.
Study math with us and make sure that "Mathematics is easy!"
About
Practice
Calculators
Library
Formulas
Feedback
Order

Online calculator. Solving of quadratic equations.

A quadratic equation is a polynomial equation of the second degree. The general form is

a x
2 +
b x
+
c
= 0,

where
x
represents a variable or an unknown, and
a
,
b
, and
c
are constants with
a
≠ 0. (If
a
= 0, the equation is a linear equation.)

The discriminant determines the number of the roots. There are three cases:

∆ =
b
2 - 4
ac
.
  • If the discriminant is positive (∆ > 0), then there are two distinct roots, both of which are real numbers.
  • If the discriminant is zero (∆ = 0), then there is exactly one distinct real root, sometimes called a double root (
    x
    1 = 
    x
    2).
  • If the discriminant is negative (∆ < 0), then there are no real roots.

The roots are given by the quadratic formula
x
1,2 = 
-
b
 ± √
2
a

If in your quadratic equation there are subtraction signs, before corresponding coefficient in the calculator it is necessary to put a sign a minus ("-"). For example:

x
2 - 4
x
 - 5 = 0, coefficients 1, -4, -5.
If in your quadratic equation there are less than three summand, near to an absent coefficient in the calculator it is necessary to put a zero ("0"). For example:
x
2 - 4x = 0, coefficients 1, -4, 0.

Input quadratic equation coefficients.

x
2 + 
x
 +  = 0





F11

Add the comment

0



© 2011-2017 Dovzhyk Mykhailo

Welcome to OnlineMSchool. This web site owner is mathematician Dovzhyk Mykhailo. I designed this web site and wrote all the mathematical theory, online exercises, formulas and calculators.

If you want to contact me, probably have some question write me email on suppotr@onlinemschool.com

SERVICES

  Online calculators
  Online exercises
  Library
  Formulas
  Percentage Calculator
OnlineMSchool

  Feedback
  support@onlinemschool.com