EQUATIONS INVOLVING FRACTIONS (RATIONAL EQUATIONS)


Note:



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Solve for x in the following equation.




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Problem 5.4a:        

$\displaystyle \frac{3x-7}{x^{2}-7x+6}-\displaystyle \frac{5x-5}{
x^{2}+4x-5}=\displaystyle \frac{x+20}{x^{2}-x-30}\bigskip $

Solution



Problem 5.4b:        

$\displaystyle \frac{4x-3}{2x^{2}+5x-12}+\displaystyle \frac{3}{x^{2}-16}=
\displaystyle \frac{10x-11}{2x^{2}-11x+12}$

Solution



Problem 5.4c:        

$\displaystyle \frac{x-6}{\left( x-1\right) ^{2}}+\displaystyle \frac{x+3
}{\left( x-2\right) ^{2}}=\displaystyle \frac{7x^{2}+6x}{x^{4}-6x^{3}+13x^{2}-12x+4}$

Solution





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[Algebra] [Trigonometry]
[Geometry] [Differential Equations]
[Calculus] [Complex Variables] [Matrix Algebra]

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Author: Nancy Marcus

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