Difference of Roots of Quadratic Equation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Difference of Roots of Quadratic Equation = sqrt(Discriminant of Quadratic Equation)/Numerical Coefficient a of Quadratic Equation
D'(x1-x2) = sqrt(D)/a
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Difference of Roots of Quadratic Equation - Difference of Roots of Quadratic Equation is the difference of the value of variables, x1 and x2, satisfying the given quadratic equation f(x).
Discriminant of Quadratic Equation - Discriminant of Quadratic Equation is the expression that shows the nature of roots of the 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
Discriminant of Quadratic Equation: 400 --> No Conversion Required
Numerical Coefficient a of Quadratic Equation: 2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
D'(x1-x2) = sqrt(D)/a --> sqrt(400)/2
Evaluating ... ...
D'(x1-x2) = 10
STEP 3: Convert Result to Output's Unit
10 --> No Conversion Required
FINAL ANSWER
10 <-- Difference of Roots of Quadratic Equation
(Calculation completed in 00.004 seconds)

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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)

Difference of Roots of Quadratic Equation Formula

Difference of Roots of Quadratic Equation = sqrt(Discriminant of Quadratic Equation)/Numerical Coefficient a of Quadratic Equation
D'(x1-x2) = sqrt(D)/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 Difference of Roots of Quadratic Equation?

Difference of Roots of Quadratic Equation calculator uses Difference of Roots of Quadratic Equation = sqrt(Discriminant of Quadratic Equation)/Numerical Coefficient a of Quadratic Equation to calculate the Difference of Roots of Quadratic Equation, The Difference of Roots of Quadratic Equation formula is defined as the difference of the value of variables, x1 and x2, satisfying the given quadratic equation f(x). Difference of Roots of Quadratic Equation is denoted by D'(x1-x2) symbol.

How to calculate Difference of Roots of Quadratic Equation using this online calculator? To use this online calculator for Difference of Roots of Quadratic Equation, enter Discriminant of Quadratic Equation (D) & Numerical Coefficient a of Quadratic Equation (a) and hit the calculate button. Here is how the Difference of Roots of Quadratic Equation calculation can be explained with given input values -> 10 = sqrt(400)/2.

FAQ

What is Difference of Roots of Quadratic Equation?
The Difference of Roots of Quadratic Equation formula is defined as the difference of the value of variables, x1 and x2, satisfying the given quadratic equation f(x) and is represented as D'(x1-x2) = sqrt(D)/a or Difference of Roots of Quadratic Equation = sqrt(Discriminant of Quadratic Equation)/Numerical Coefficient a of Quadratic Equation. Discriminant of Quadratic Equation is the expression that shows the nature of roots of the 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 Difference of Roots of Quadratic Equation?
The Difference of Roots of Quadratic Equation formula is defined as the difference of the value of variables, x1 and x2, satisfying the given quadratic equation f(x) is calculated using Difference of Roots of Quadratic Equation = sqrt(Discriminant of Quadratic Equation)/Numerical Coefficient a of Quadratic Equation. To calculate Difference of Roots of Quadratic Equation, you need Discriminant of Quadratic Equation (D) & Numerical Coefficient a of Quadratic Equation (a). With our tool, you need to enter the respective value for Discriminant 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.
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