Q. 14.0( 10 Votes )

<span lang="EN-US

Answer :

Given quadratic equation:


kx2 – 14x + 8 = 0


We know that roots of a quadratic equation ax2 + bx + c, a ≠ 0 are



For given equation:


a = k


b = –14


c = 8


Let the roots of above equation be α and β


Given that,


One root is six times other, therefore


α = 6β


Applying the formula, we get






Squaring both side,


196 – 32k =100


32k = 96


k = 3


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
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
caricature
view all courses