Sum of Roots of Quadratic Equation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Sum of Roots = -Numerical Coefficient b of Quadratic Equation/Numerical Coefficient a of Quadratic Equation
S(x1+x2) = -b/a
This formula uses 3 Variables
Variables Used
Sum of Roots - Sum of Roots is the sum of the value of variables, x1 and x2, satisfying the given quadratic equation f(x).
Numerical Coefficient b of Quadratic Equation - Numerical Coefficient b of Quadratic Equation is a constant multiplier of the variables raised to the power one in a Quadratic Equation.
Numerical Coefficient a of Quadratic Equation - Numerical Coefficient a of Quadratic Equation is a constant multiplier of the variables raised to the power two in a Quadratic Equation.
STEP 1: Convert Input(s) to Base Unit
Numerical Coefficient b of Quadratic Equation: 8 --> No Conversion Required
Numerical Coefficient a of Quadratic Equation: 2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
S(x1+x2) = -b/a --> -8/2
Evaluating ... ...
S(x1+x2) = -4
STEP 3: Convert Result to Output's Unit
-4 --> No Conversion Required
FINAL ANSWER
-4 <-- Sum of Roots
(Calculation completed in 00.004 seconds)

Credits

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Created by Dhruv Walia
Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand
Dhruv Walia has created this Calculator and 1100+ more calculators!
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Verified by Nikita Kumari
The National Institute of Engineering (NIE), Mysuru
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Quadratic Equation Calculators

Second Root of Quadratic Equation
​ LaTeX ​ Go Second Root of Quadratic Equation = (-(Numerical Coefficient b of Quadratic Equation)-sqrt(Numerical Coefficient b of Quadratic Equation^2-4*Numerical Coefficient a of Quadratic Equation*Numerical Coefficient c of Quadratic Equation))/(2*Numerical Coefficient a of Quadratic Equation)
First Root of Quadratic Equation
​ LaTeX ​ Go First Root of Quadratic Equation = (-(Numerical Coefficient b of Quadratic Equation)+sqrt(Numerical Coefficient b of Quadratic Equation^2-4*Numerical Coefficient a of Quadratic Equation*Numerical Coefficient c of Quadratic Equation))/(2*Numerical Coefficient a of Quadratic Equation)
Discriminant of Quadratic Equation
​ LaTeX ​ Go Discriminant of Quadratic Equation = (Numerical Coefficient b of Quadratic Equation^2)-(4*Numerical Coefficient a of Quadratic Equation*Numerical Coefficient c of Quadratic Equation)
Product of Roots of Quadratic Equation
​ LaTeX ​ Go Product of Roots = Numerical Coefficient c of Quadratic Equation/Numerical Coefficient a of Quadratic Equation

Sum of Roots of Quadratic Equation Formula

​LaTeX ​Go
Sum of Roots = -Numerical Coefficient b of Quadratic Equation/Numerical Coefficient a of Quadratic Equation
S(x1+x2) = -b/a

What is a Quadratic Equation?

A Quadratic Equation is an algebraic equation in some variable x with the highest degree of terms being 2. The Quadratic Equation in its standard form is ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term. The first condition for an equation to be a Quadratic Equation is the coefficient of x2 is a non-zero term(a ≠ 0). If the discriminant is positive, then the Quadratic Equation will have two real roots. If the discriminant is zero, then the Quadratic Equation will have one real root. If the discriminant is negative, then the Quadratic Equation will not have any real roots.

How to Calculate Sum of Roots of Quadratic Equation?

Sum of Roots of Quadratic Equation calculator uses Sum of Roots = -Numerical Coefficient b of Quadratic Equation/Numerical Coefficient a of Quadratic Equation to calculate the Sum of Roots, The Sum of Roots of Quadratic Equation formula is defined as the sum of the value of variables, x1 and x2, satisfying the given quadratic equation f(x). Sum of Roots is denoted by S(x1+x2) symbol.

How to calculate Sum of Roots of Quadratic Equation using this online calculator? To use this online calculator for Sum of Roots of Quadratic Equation, enter Numerical Coefficient b of Quadratic Equation (b) & Numerical Coefficient a of Quadratic Equation (a) and hit the calculate button. Here is how the Sum of Roots of Quadratic Equation calculation can be explained with given input values -> -4 = -8/2.

FAQ

What is Sum of Roots of Quadratic Equation?
The Sum of Roots of Quadratic Equation formula is defined as the sum of the value of variables, x1 and x2, satisfying the given quadratic equation f(x) and is represented as S(x1+x2) = -b/a or Sum of Roots = -Numerical Coefficient b of Quadratic Equation/Numerical Coefficient a of Quadratic Equation. Numerical Coefficient b of Quadratic Equation is a constant multiplier of the variables raised to the power one in a Quadratic Equation & Numerical Coefficient a of Quadratic Equation is a constant multiplier of the variables raised to the power two in a Quadratic Equation.
How to calculate Sum of Roots of Quadratic Equation?
The Sum of Roots of Quadratic Equation formula is defined as the sum of the value of variables, x1 and x2, satisfying the given quadratic equation f(x) is calculated using Sum of Roots = -Numerical Coefficient b of Quadratic Equation/Numerical Coefficient a of Quadratic Equation. To calculate Sum of Roots of Quadratic Equation, you need Numerical Coefficient b of Quadratic Equation (b) & Numerical Coefficient a of Quadratic Equation (a). With our tool, you need to enter the respective value for Numerical Coefficient b of Quadratic Equation & Numerical Coefficient a of Quadratic Equation and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Sum of Roots?
In this formula, Sum of Roots uses Numerical Coefficient b of Quadratic Equation & Numerical Coefficient a of Quadratic Equation. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Sum of Roots = (First Root of Quadratic Equation)+(Second Root of Quadratic Equation)
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