Home > Algebra calculators > Roots for Non-Zero Denominator calculator


Method and examples
Roots For Non-Zero Denominator
(each denominator is a non-zero polynomial)
 
1. Method

 = 
  1. `(5x-18)/(x+2)``=(2x-6)/(x-1)`
  2. `(3x-5)/(4x-7)``=(5x-9)/(6x-11)`
  3. `(2x-3)/(x+1)``=(x)/(x+4)`

2. Method

 + 
 = 
  1. `(x)/(x+1)``+(x+1)/(x)``=(5)/(2)`
  2. `(x+2)/(x)``+(x)/(x+2)``=(10)/(3)`
  3. `(x+1)/(x-3)``+(x-3)/(x+1)``=(5)/(2)`
  4. `(x+3)/(x+1)``+(x-1)/(x+2)``=(23)/(12)`
  5. `(2x+3)/(x)``+(4x)/(2x+3)``=(13)/(3)`
  6. `(x+4)/(x-4)``+(x-4)/(x+4)``=(10)/(3)`
  7. `(4)/(x+2)``+(-1)/(x+3)``=(4)/(2x+1)`
  8. `(3)/(x-2)``+(2)/(x-3)``=(2)/(x-4)`
  9. `(1)/(x-2)``+(2)/(x-1)``=(6)/(x)`
  10. `(1)/(x-2)``+(1)/(x+3)``=(7)/(2x)`
  11. `(4)/(x+1)``+(3)/(x-2)``=(4)/(1)`
  12. `(2(x-2))/(x+2)``+(3x+2)/(x-1)``=(16)/(3)`

3. Method
2  
2X+1
 

 + 
 +   =  0
 
X-1
 
  1. `12((2x+1)/(x-1))^2-5((2x+1)/(x-1))-2=0`
  2. `2((4x+1)/(4x-1))^2+5((4x+1)/(4x-1))-3=0`
  3. `1((x+8)/(x))^2-6((x+8)/(x))-7=0`
  4. `4((x-1)/(x-2))^2-20((x-1)/(x-2))+25=0`
  5. `4((4x+1)/(4x-1))^2+1((4x+1)/(4x-1))-3=0`
  6. `12((2x+1)/(x-1))^2-5((2x+1)/(x-1))-2=0`

4. Method
 
X-1
 

 + 
 = 
 
X
 
  1. `12((x)/(x-1))+12((x-1)/(x))+25=0`
  2. `1((2x-3)/(x-1))-4((x-1)/(2x-3))-3=0`
  3. `1((2x-1)/(x+1))-15((x+1)/(2x-1))+2=0`
  4. `15((x+1)/(x-1))-4((x-1)/(x+1))-4=0`
  5. `3((3x-1)/(3x+1))-2((3x+1)/(3x-1))-5=0`

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