Class 10 Math All topics Quadratic Equations



Find the value 'p' so that the equation has roots whose difference is 4.
Solution: 
We know that if and are the roots of a quadratic equation , the sum of the roots is  and the product of the roots is .

Let and be the roots of the given quadratic equation . It is given that the difference of the roots is , therefore,


The equation  is in the form  where and .
  
The sum of the roots is:



The product of the roots is  that is:

 

Now, we know the identity , therefore, using equations 1,2 and 3, we have

 
 
Hence, the value of .

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Similar topics
introduction to trigonometry
functions
some applications of trigonometry
quadratic equations
polynomials
widgit image
Connecting you to a tutor in 60 seconds.
Get answers to your doubts.
play store logo
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introduction to trigonometry
functions
some applications of trigonometry
quadratic equations
polynomials