Q. 104.3( 3 Votes )

If one root of th

Answer :

Two roots of any quadratic equation are α and β.


Here, one root is square of the other i.e α = β2


3x2 – kx – 81 = 0 compare this with ax2 – bx + c = 0


a = 3, b = –k and c = –81










αβ = –27


β2(β) = –27


β3 = –27


β3 = (–3)3


β = –3


now, we are going to apply in first equation






6 × 3 = k


k = 18


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
RELATED QUESTIONS :

Determine the natTamil Nadu Board - Math

Find a quadratic Tamil Nadu Board - Math

Find a quadratic Tamil Nadu Board - Math

Solve the followiTamil Nadu Board - Math

Find a quadratic Tamil Nadu Board - Math

Find the zeros ofTamil Nadu Board - Math

Let b = a + c. ThTamil Nadu Board - Math

A chess board conTamil Nadu Board - Math

The speed of a boTamil Nadu Board - Math

A train covers a Tamil Nadu Board - Math