Product 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%

✖Product of Roots is the product of the value of variables, x1 and x2, satisfying the given quadratic equation f(x).ⓘ Product of Roots of Quadratic Equation given Roots [P_(x1×x2)]

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Formula

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Product of Roots of Quadratic Equation given Roots

Formula

`"P"_{"(x1×x2)"} = "x"_{"1"}*"x"_{"2"}`

Example

`"-21"="3"*"-7"`

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Product of Roots of Quadratic Equation given Roots Solution

STEP 0: Pre-Calculation Summary

Formula Used

Product of Roots = First Root of Quadratic Equation*Second Root of Quadratic Equation
P_(x1×x2) = x₁*x₂
This formula uses 3 Variables

Variables Used

Product of Roots - Product of Roots is the product 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

P_(x1×x2) = x₁*x₂ --> 3*(-7)

Evaluating ... ...

P_(x1×x2) = -21

STEP 3: Convert Result to Output's Unit

-21 --> No Conversion Required

FINAL ANSWER

-21 <-- Product of Roots

(Calculation completed in 00.004 seconds)

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Credits

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 Nikhil

Mumbai University (DJSCE), Mumbai

Nikhil has verified this Calculator and 300+ 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)

Product of Roots of Quadratic Equation given Roots Formula

Product of Roots = First Root of Quadratic Equation*Second Root of Quadratic Equation
P_(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 Product of Roots of Quadratic Equation given Roots?

Product of Roots of Quadratic Equation given Roots calculator uses Product of Roots = First Root of Quadratic Equation*Second Root of Quadratic Equation to calculate the Product of Roots, The Product of Roots of Quadratic Equation given Roots formula is defined as the product of the value of variables, x1 and x2, satisfying the given quadratic equation f(x). Product of Roots is denoted by P_(x1×x2) symbol.

How to calculate Product of Roots of Quadratic Equation given Roots using this online calculator? To use this online calculator for Product 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 Product of Roots of Quadratic Equation given Roots calculation can be explained with given input values -> -21 = 3*(-7).

FAQ

What is Product of Roots of Quadratic Equation given Roots?

The Product of Roots of Quadratic Equation given Roots formula is defined as the product of the value of variables, x1 and x2, satisfying the given quadratic equation f(x) and is represented as P_(x1×x2) = x₁*x₂ or Product 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 Product of Roots of Quadratic Equation given Roots?

The Product of Roots of Quadratic Equation given Roots formula is defined as the product of the value of variables, x1 and x2, satisfying the given quadratic equation f(x) is calculated using Product of Roots = First Root of Quadratic Equation*Second Root of Quadratic Equation. To calculate Product 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 Product of Roots?

In this formula, Product 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 -

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

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