Q. 424.1( 17 Votes )

If one root of the quadratic equation 3x2 - 10x + k = 0 is reciprocal of the other, find the value of k.

Answer :

Let α and β be roots of the quadratic equation 3x2 - 10x + k = 0

a = 3 b = - 10 c = k


Then

For any general quadratic equation in the form ax2 + bx + c = 0, we have
Product of roots

⇒ 

⇒ k = 3

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Get To Know About Quadratic Formula42 mins
Quiz | Knowing the Nature of Roots44 mins
Take a Dip Into Quadratic graphs32 mins
Foundation | Practice Important Questions for Foundation54 mins
Nature of Roots of Quadratic Equations51 mins
Getting Familiar with Nature of Roots of Quadratic Equations51 mins
Quadratic Equation: Previous Year NTSE Questions32 mins
Champ Quiz | Quadratic Equation33 mins
Balance the Chemical Equations49 mins
Understand The Concept of Quadratic Equation45 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses