Sum of Roots of Quadratic Equation given Roots Calculator

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Quadratic Equation

✖First Root of Quadratic Equation is the value of one of the variables satisfying the given quadratic equation f(x), such that f(x1) = 0.ⓘ First Root of Quadratic Equation [x₁]			+10% -10%
✖Second Root of Quadratic Equation is the value of one of the variables satisfying the given quadratic equation f(x), such that f(x2) = 0.ⓘ Second Root of Quadratic Equation [x₂]			+10% -10%

✖Sum of Roots is the sum of the value of variables, x1 and x2, satisfying the given quadratic equation f(x).ⓘ Sum of Roots of Quadratic Equation given Roots [S_(x1+x2)]

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Formula

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Sum of Roots of Quadratic Equation given Roots

Formula

`"S"_{"(x1+x2)"} = ("x"_{"1"})+("x"_{"2"})`

Example

`"-4"=("3")+("-7")`

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Sum of Roots of Quadratic Equation given Roots Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sum of Roots = (First Root of Quadratic Equation)+(Second Root of Quadratic Equation)
S_(x1+x2) = (x₁)+(x₂)
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).
First Root of Quadratic Equation - First Root of Quadratic Equation is the value of one of the variables satisfying the given quadratic equation f(x), such that f(x1) = 0.
Second Root of Quadratic Equation - Second Root of Quadratic Equation is the value of one of the variables satisfying the given quadratic equation f(x), such that f(x2) = 0.

STEP 1: Convert Input(s) to Base Unit

First Root of Quadratic Equation: 3 --> No Conversion Required
Second Root of Quadratic Equation: -7 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_(x1+x2) = (x₁)+(x₂) --> (3)+((-7))

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)

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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!

Verified by Nikita Kumari

The National Institute of Engineering (NIE), Mysuru

Nikita Kumari has verified this Calculator and 600+ more calculators!

< 17 Quadratic Equation Calculators

Second Root of Quadratic Equation

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

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)

Value of Quadratic Equation

Go Value of Quadratic Equation = (Numerical Coefficient a of Quadratic Equation*Value of X of Quadratic Equation^2)+(Numerical Coefficient b of Quadratic Equation*Value of X of Quadratic Equation)+(Numerical Coefficient c of Quadratic Equation)

Maximum or Minimum Value of Quadratic Equation

Go Maximum/Minimum Value of Quadratic Equation = ((4*Numerical Coefficient a of Quadratic Equation*Numerical Coefficient c of Quadratic Equation)-(Numerical Coefficient b of Quadratic Equation^2))/(4*Numerical Coefficient a of Quadratic Equation)

Numerical Coefficient 'b' of Quadratic Equation

Go Numerical Coefficient b of Quadratic Equation = sqrt(Discriminant of Quadratic Equation+(4*Numerical Coefficient a of Quadratic Equation*Numerical Coefficient c of Quadratic Equation))

Second Root of Quadratic Equation given Discriminant

Go Second Root of Quadratic Equation = (-Numerical Coefficient b of Quadratic Equation-sqrt(Discriminant of Quadratic Equation))/(2*Numerical Coefficient a of Quadratic Equation)

First Root of Quadratic Equation given Discriminant

Go First Root of Quadratic Equation = (-Numerical Coefficient b of Quadratic Equation+sqrt(Discriminant of Quadratic Equation))/(2*Numerical Coefficient a of Quadratic Equation)

Numerical Coefficient 'a' of Quadratic Equation

Go Numerical Coefficient a of Quadratic Equation = (Numerical Coefficient b of Quadratic Equation^2-Discriminant of Quadratic Equation)/(4*Numerical Coefficient c of Quadratic Equation)

Numerical Coefficient 'c' of Quadratic Equation

Go Numerical Coefficient c of Quadratic Equation = (Numerical Coefficient b of Quadratic Equation^2-Discriminant of Quadratic Equation)/(4*Numerical Coefficient a of Quadratic Equation)

Discriminant of Quadratic Equation

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)

Difference of Roots of Quadratic Equation

Go Difference of Roots of Quadratic Equation = sqrt(Discriminant of Quadratic Equation)/Numerical Coefficient a of Quadratic Equation

Value of X for Maximum or Minimum Value of Quadratic Equation

Go Value of X for Maximum/Minimum Value of f(X) = -Numerical Coefficient b of Quadratic Equation/(2*Numerical Coefficient a of Quadratic Equation)

Maximum or Minimum Value of Quadratic Equation using Discriminant

Go Maximum/Minimum Value of Quadratic Equation = -Discriminant of Quadratic Equation/(4*Numerical Coefficient a of Quadratic Equation)

Product of Roots of Quadratic Equation

Go Product of Roots = Numerical Coefficient c of Quadratic Equation/Numerical Coefficient a of Quadratic Equation

Sum of Roots of Quadratic Equation

Go Sum of Roots = -Numerical Coefficient b of Quadratic Equation/Numerical Coefficient a of Quadratic Equation

Product of Roots of Quadratic Equation given Roots

Go Product of Roots = First Root of Quadratic Equation*Second Root of Quadratic Equation

Sum of Roots of Quadratic Equation given Roots

Go Sum of Roots = (First Root of Quadratic Equation)+(Second Root of Quadratic Equation)

Sum of Roots of Quadratic Equation given Roots Formula

Sum of Roots = (First Root of Quadratic Equation)+(Second Root of Quadratic Equation)
S_(x1+x2) = (x₁)+(x₂)

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 given Roots?

Sum of Roots of Quadratic Equation given Roots calculator uses Sum of Roots = (First Root of Quadratic Equation)+(Second Root of Quadratic Equation) to calculate the Sum of Roots, The Sum of Roots of Quadratic Equation given Roots 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 given Roots using this online calculator? To use this online calculator for Sum of Roots of Quadratic Equation given Roots, enter First Root of Quadratic Equation (x₁) & Second Root of Quadratic Equation (x₂) and hit the calculate button. Here is how the Sum of Roots of Quadratic Equation given Roots calculation can be explained with given input values -> -4 = (3)+((-7)).

FAQ

What is Sum of Roots of Quadratic Equation given Roots?

The Sum of Roots of Quadratic Equation given Roots 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) = (x₁)+(x₂) or Sum of Roots = (First Root of Quadratic Equation)+(Second Root of Quadratic Equation). First Root of Quadratic Equation is the value of one of the variables satisfying the given quadratic equation f(x), such that f(x1) = 0 & Second Root of Quadratic Equation is the value of one of the variables satisfying the given quadratic equation f(x), such that f(x2) = 0.

How to calculate Sum of Roots of Quadratic Equation given Roots?

The Sum of Roots of Quadratic Equation given Roots 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 = (First Root of Quadratic Equation)+(Second Root of Quadratic Equation). To calculate Sum of Roots of Quadratic Equation given Roots, you need First Root of Quadratic Equation (x₁) & Second Root of Quadratic Equation (x₂). With our tool, you need to enter the respective value for First Root of Quadratic Equation & Second Root 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 First Root of Quadratic Equation & Second Root of Quadratic Equation. We can use 1 other way(s) to calculate the same, which is/are as follows -

Sum of Roots = -Numerical Coefficient b of Quadratic Equation/Numerical Coefficient a of Quadratic Equation

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