Quadratic Equation - Roots for non-zero denominator Example-2 : (x)/(x+1) + (x+1)/(x) = 5/2

We use cookies to improve your experience on our site and to show you relevant advertising. By browsing this website, you agree to our use of cookies. Learn more

Support us

Home

What's new

College Algebra

Games

Feedback

About us

Algebra

Matrix & Vector

Numerical Methods

Statistical Methods

Operation Research

Word Problems

Calculus

Geometry

Pre-Algebra

Quadratic Equation - Roots for non-zero denominator example ( Enter your problem )

( Enter your problem )

Example-1 : `(5X-18)/(X+2) = (2X-6)/(X-1)`
Example-2 : `(x)/(x+1) + (x+1)/(x) = 5/2`
Example-3 : `4((4x+1)/(4x-1))^(2) + (4x+1)/(4x-1) = 3`
Example-4 : `(4x+1)/(4x-1) + (4x-1)/(4x+1) = 3`

1. Example-1 : `(5X-18)/(X+2) = (2X-6)/(X-1)`
(Previous example)

3. Example-3 : `4((4x+1)/(4x-1))^(2) + (4x+1)/(4x-1) = 3`
(Next example)

2. Example-2 : `(x)/(x+1) + (x+1)/(x) = 5/2`

2. Find roots of the equation `(X)/(X+1) + (X+1)/(X) = (5)/(2)`

` (X)/(X+1) + (X+1)/(X) = (5)/(2)`

` => (X)*(X)*(2) + (X+1)*(X+1)*(2) = (5)*(X+1)*(X)`

` => 2X^2 + (2X^2+4X+2) = (5X^2+5X)`

` => 2X^2 + (2X^2+4X+2) + (-5X^2-5X) = 0`

` => -X^2-X+2 = 0`

` => (-X^2-X+2) = 0`

` => -X^2-X+2 = 0`

` => (-1)(X^2+X-2) = 0`

` => (-1)(X^2-X+2X-2) = 0`

` => (-1)(X(X-1)+2(X-1)) = 0`

` => (-1)(X+2)(X-1) = 0`

` => (X+2) = 0" or "(X-1) = 0`

` => X = -2" or "X = 1`

This material is intended as a summary. Use your textbook for detail explanation.
Any bug, improvement, feedback then Submit Here