# Quadratic Equation Calculator English Español 中国 Português Pусский 日本語 Türk

Quadratic comes from the word 'Quad', which means square, because the variable is getting squared. In elementary algebra, a quadratic equation is a polynomial equation of the second degree. It is also called an 'Equation of Degree 2'. The general form is ax2 + bx + c = 0, where a, b, and c are numbers, 'x' represents the unknown value and a ≠ 0, if a equals zero then its a linear equation. Find the roots by Solving quadratic equations using this online Quadratic Equation calculator.

#### To calculate the roots:

For example ,Enter a=1, b=8 and c=16.

ax2 + bx + c = 0

Quadratic comes from the word 'Quad', which means square, because the variable is getting squared. In elementary algebra, a quadratic equation is a polynomial equation of the second degree. It is also called an 'Equation of Degree 2'. The general form is ax2 + bx + c = 0, where a, b, and c are numbers, 'x' represents the unknown value and a ≠ 0, if a equals zero then its a linear equation. Find the roots by Solving quadratic equations using this online Quadratic Equation calculator.

Code to add this calci to your website  #### Formula:

x = (- b ± √ b2 - 4 x a x c) / 2 x a
Where, a = Coefficient of x2 b = Coefficient of x c = Constant

#### Example

Find the roots by solving quadratic equation : 2x2-5x+3
x = (-(-5) ± √((-5)^2 - 4 * 2 * 3)) / 2 * 2
= (5 Â± √(25 - 24)) / 4
= (5 Â± √(1)) / 4
= (5 Â± 1) / 4
= (5+1) / 4 , (5 - 1) / 4
= 6/4, 4,4
= 1.5, 1