Quadratic Equation - Roots for non-zero denominator calculator

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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


	=

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

2. Method


	+	=

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

3. Method

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

4. Method

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

SolutionHelp