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 quadratic equation :

frac{1}{x}+frac{1}{(x+5)} = 2

Right Option : A
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Question : 2

The sum of the ages of Vivek and his younger brother Amit is 47 years. The product of their ages in years is 550.  Express this in quadratic form.

Right Option : C
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Explanation
Question : 3

Expand and simplify:   x(2x+3)+5(x−7) 

Right Option : A
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Explanation
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