First Factor of Quadratic Equation Calculator

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✖Numerical Coefficient b is a constant multiplier of the variables in a term.ⓘ Numerical Coefficient b [b]			+10% -10%
✖Numerical Coefficient a is a constant multiplier of the variables in a term.ⓘ Numerical Coefficient a [a]			+10% -10%
✖Numerical Coefficient c is a constant multiplier of the variables in a term.ⓘ Numerical Coefficient c [c]			+10% -10%

✖The first factor of the quadratic equation is one of the solutions of the quadratic equation.ⓘ First Factor of Quadratic Equation [x1]

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Credits

Team Softusvista

Softusvista Office (Pune), India

Team Softusvista has created this Calculator and 500+ more calculators!

Himanshi Sharma

Bhilai Institute of Technology (BIT), Raipur

Himanshi Sharma has verified this Calculator and 500+ more calculators!

First Factor of Quadratic Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

first_factor_of_quadratic_equation = (-Numerical Coefficient b+sqrt(Numerical Coefficient b^2-4*Numerical Coefficient a*Numerical Coefficient c))/2*Numerical Coefficient a
x1 = (-b+sqrt(b^2-4*a*c))/2*a
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - Squre root function, sqrt(Number)

Variables Used

Numerical Coefficient b- Numerical Coefficient b is a constant multiplier of the variables in a term.
Numerical Coefficient a- Numerical Coefficient a is a constant multiplier of the variables in a term.
Numerical Coefficient c- Numerical Coefficient c is a constant multiplier of the variables in a term.

STEP 1: Convert Input(s) to Base Unit

Numerical Coefficient b: 3 --> No Conversion Required
Numerical Coefficient a: 1 --> No Conversion Required
Numerical Coefficient c: -4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

x1 = (-b+sqrt(b^2-4*a*c))/2*a --> (-3+sqrt(3^2-4*1*(-4)))/2*1

Evaluating ... ...

x1 = 1

STEP 3: Convert Result to Output's Unit

1 --> No Conversion Required

FINAL ANSWER

1 <-- First Factor of Quadratic Equation

(Calculation completed in 00.016 seconds)

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< 11 Other formulas that you can solve using the same Inputs

Second Factor of quadratic Equation

second_factor_of_quadratic_equation = (-Numerical Coefficient b-sqrt(Numerical Coefficient b^2-4*Numerical Coefficient a*Numerical Coefficient c))/2*Numerical Coefficient a Go

Length of the chord intercepted by the parabola y^2=4ax on the line y = mx + c

chord_length = (4/Slope of Line^2)*((Numerical Coefficient a)*(1+(Slope of Line^2))*(Numerical Coefficient a-(Slope of Line*Numerical Coefficient c)))^(0.5) Go

Distance between two parallel lines

distance_between_line = modulus(Number C- (Numerical Coefficient c))/sqrt(Numerical Coefficient a^2+Numerical Coefficient b^2) Go

Discriminant of an quadratic equation

discriminant_of_a_quadratic_equation = (Numerical Coefficient b^2)-(4*Numerical Coefficient a*Numerical Coefficient c) Go

co-efficient of x when slope of a line and y-co-efficient are given

numerical_coefficient_a = -Slope of Line*Numerical Coefficient b Go

co-efficient of y when slope of a line and x-co-efficient are given

numerical_coefficient_b = -Numerical Coefficient a/Slope of Line Go

slope of a line when equation is of the form x/a +y/b =1

slope_of_line = -Numerical Coefficient b/Numerical Coefficient a Go

y-intercept of a line of the form ax+by+c=0

y_intercept = -(Numerical Coefficient c/Numerical Coefficient b) Go

X-intercept of a line of the form ax+by+c=0

x3 = -(Numerical Coefficient c)/Numerical Coefficient a Go

Slope of normal at (x1, y1) to parabola y^2=4ax

slope_of_line = -y1/2*Numerical Coefficient a Go

slope of tangent at (x1,y1) to parabola y^2=4ax

slope_of_line = 2*Numerical Coefficient a/y1 Go

First Factor of Quadratic Equation Formula

How to Calculate First Factor of Quadratic Equation?

First Factor of Quadratic Equation calculator uses first_factor_of_quadratic_equation = (-Numerical Coefficient b+sqrt(Numerical Coefficient b^2-4*Numerical Coefficient a*Numerical Coefficient c))/2*Numerical Coefficient a to calculate the First Factor of Quadratic Equation, The first factor of the quadratic equation is one of the roots of the quadratic equation and is also known as x-intercepts. First Factor of Quadratic Equation and is denoted by x1 symbol.

How to calculate First Factor of Quadratic Equation using this online calculator? To use this online calculator for First Factor of Quadratic Equation, enter Numerical Coefficient b (b), Numerical Coefficient a (a) and Numerical Coefficient c (c) and hit the calculate button. Here is how the First Factor of Quadratic Equation calculation can be explained with given input values -> 1 = (-3+sqrt(3^2-4*1*(-4)))/2*1.

FAQ

What is First Factor of Quadratic Equation?

The first factor of the quadratic equation is one of the roots of the quadratic equation and is also known as x-intercepts and is represented as x1 = (-b+sqrt(b^2-4*a*c))/2*a or first_factor_of_quadratic_equation = (-Numerical Coefficient b+sqrt(Numerical Coefficient b^2-4*Numerical Coefficient a*Numerical Coefficient c))/2*Numerical Coefficient a. Numerical Coefficient b is a constant multiplier of the variables in a term, Numerical Coefficient a is a constant multiplier of the variables in a term and Numerical Coefficient c is a constant multiplier of the variables in a term.

How to calculate First Factor of Quadratic Equation?

The first factor of the quadratic equation is one of the roots of the quadratic equation and is also known as x-intercepts is calculated using first_factor_of_quadratic_equation = (-Numerical Coefficient b+sqrt(Numerical Coefficient b^2-4*Numerical Coefficient a*Numerical Coefficient c))/2*Numerical Coefficient a. To calculate First Factor of Quadratic Equation, you need Numerical Coefficient b (b), Numerical Coefficient a (a) and Numerical Coefficient c (c). With our tool, you need to enter the respective value for Numerical Coefficient b, Numerical Coefficient a and Numerical Coefficient c 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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