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Quadratic Equation - Roots for non-zero denominator example ( Enter your problem )
( Enter your problem )
  1. Example-1 : `(5X-18)/(X+2) = (2X-6)/(X-1)`
  2. Example-2 : `(x)/(x+1) + (x+1)/(x) = 5/2`
  3. Example-3 : `4((4x+1)/(4x-1))^(2) + (4x+1)/(4x-1) = 3`
  4. Example-4 : `(4x+1)/(4x-1) + (4x-1)/(4x+1) = 3`
2. Example-2 : `(x)/(x+1) + (x+1)/(x) = 5/2`
(Next example)

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


1. Find roots of the equation `(5X-18)/(X+2) = (2X-6)/(X-1)`

` (5X-18)/(X+2) = (2X-6)/(X-1)`

` => (5X-18)*(X-1) = (2X-6)*(X+2)`

` => 5X^2-23X+18 = 2X^2-2X-12`

` => 3X^2-21X+30 = 0`

` => (3X^2-21X+30) = 0`

` => 3X^2-21X+30 = 0`

` => 3(X^2-7X+10) = 0`

` => 3(X^2-2X-5X+10) = 0`

` => 3(X(X-2)+(-5)(X-2)) = 0`

` => 3(X-5)(X-2) = 0`

` => (X-5) = 0" or "(X-2) = 0`

` => X = 5" or "X = 2`



This material is intended as a summary. Use your textbook for detail explanation.
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2. Example-2 : `(x)/(x+1) + (x+1)/(x) = 5/2`
(Next example)


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