Equations Reducible to Quadratic Form


 
 
Concept Explanation
 

Equations Reducible to Quadratic Form

There are certain equations which are reducible to quadratic form.

Illustration:

Solve:;frac{1}{x-3}+frac{1}{x+5}= frac{1}{6}, ;Where (xneq 3, -5)

Solution:

frac{1}{x-3}-frac{1}{x+5}= frac{1}{6}

frac{x+5-x+3}{(x-3)(x+5)}= frac{1}{6}

frac{8}{(x-3)(x+5)}= frac{1}{6}

frac{8}{(x^2-3x+5x-15)}= frac{1}{6}

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Sample Questions
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Question : 1

Find the values of x satisfying the equation

 left ( frac{x}{x+1} right )^{2} -5 left ( frac{x}{x+1} right ) +6 =0  

Right Option : A
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Question : 2

Find the quadratic equation for :

frac{1}{x+2}+frac{1}{(x-4)} = 20

Right Option : C
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Question : 3

The area of a rectangle is 168cm^2.  The length of the rectangle is 2 cm more than its breath. Which of the following quadratic equations represents this situation?

Right Option : B
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