The quadratic equation ax2 + bx +c = 0 has integral coefficients, and the value of its discriminant is D. What is the smallest value of D>48 for which the solutions of this quadratic equation will be irrational? a)49 b)50 c)52 d)56 please give reason...

Asked by sumandeesinghrana | 12th Oct, 2010, 03:17: PM

Expert Answer:

Dear Student

 Following is the solution of your question

The quadratic equation ax2 + bx +c = 0 has integral coefficients,

Its roots are given by x =

 where ,  D is the the value of its discriminant  

Its roots are rational or irrational depending on whether D is a perfect square or not

Now 49 is  a square number so smallest number greater than 48 is 50 for which roots are irrational.

So option (b) is correct

Hope it clarifies your doubt

Regards

Team Topperlearning

Answered by  | 13th Oct, 2010, 09:42: AM

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