Quadratic Equation - Roots for non-zero denominator Example-1 : (5x-18)/(x+2)=(2x-6)/(x-1)

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

6. 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 : $(4x+1)/(4x-1)+(4x-1)/(4x+1)=3$

Other related methods

5. Find the quadratic equation whose roots are alpha and beta
(Previous method)

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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