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

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 : 2

Find the quadratic equation for :

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

Right Option : C
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Explanation
Question : 3

The base of a right angled triangle is 2cm less than the perpendicular. The length of, the hypotenuse is 10 cm. Which of the following equations represents this situation?

Right Option : B
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Explanation
 
 


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