CBSE Class 10 Answered
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 | 12 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 | 13 Oct, 2010, 09:42: AM
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