www.TheMathWebSite.com
     Given Two Fractional Roots, Find the Quadratic Equation

Input the Values of the Roots.

          R1 =   A/D     &     R2 =   B/C

First Root Numerator,   A:  
First Root Denominator,   D:  

Second Root Numerator,   B:  
Second Root Denominator,   C:  

Please input the values and submit them.
For Your Specific Query -
If the Roots of the quadratic equation are   R1 = 0/1   &   R2 = 0/1.
The required formula is     (x - [R1])(x - [R2]) = 0
Input values into formula     (x - [0/1])(x - [0/1]) = 0
And resulting equation is       (1x + 0)(1x + 0) = 0
Which multiplies to                 1x2 + 0x + 0x + 0 = 0
And Quadratic Equation is       1x2 + 0x + 0 = 0
As a General Formula / Algorithm -
If the Roots of a quadratic equation are   R1 = A/D   &   R2 = B/C.
The required formula is     (x - [R1])(x - [R2]) = 0
Input values into formula     (x - [A/D])(x - [B/C]) = 0
And resulting equation is       (Dx - A)(Cx - B) = 0
Which multiplies to                 C*Dx2 - B*Dx - A*Cx + A*B = 0
And Quadratic Equation is       C*Dx2 - (B*D+A*C)x + A*B = 0

Copyright © 1994-. All rights reserved.    www.TheMathWebSite.com