Plz explain sir the concept of approaching this type of problems:- The real number K for which the equation 2 x³ + 3 x + K = 0 has two distinct real roots in [0,1]:- 1. lies between 1 and 22. lies between 2 and 33. lies between -1 and 04. does not exist

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Arun · Answer

Dear Sohan Correct option will be (d) f ( x ) = 2 x 3 + 3 x + kf &prime;( x ) = 6 x 2 + 3 f &prime;( x ) = 0 &rArr; x2 = -1/2 Not Possible. As condition for two distinct real root is f(&alpha;) f(&beta;) = 0 (where &alpha;, &beta; are roots of f '(x) = 0 ) Regards Arun (askIITians forum expert)

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Plz explain sir the concept of approaching this type of problems:- The real number K for which the equation 2 x³ + 3 x + K = 0 has two distinct real roots in [0,1]:- 1. lies between 1 and 22. lies between 2 and 33. lies between -1 and 04. does not exist

Plz explain sir the concept of approaching this type of problems:- The real number K for which the equation 2 x³ + 3 x + K = 0 has two distinct real roots in [0,1]:- 1. lies between 1 and 22. lies between 2 and 33. lies between -1 and 04. does not exist

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