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 00.005 seconds)

Credits

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Created by Dhruv Walia
Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand
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Mumbai University (DJSCE), Mumbai
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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

Product of Roots of Quadratic Equation given Roots Formula

​LaTeX ​Go
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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