MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping
Menu
Grade: 11
        
If p+iq is the root of the eqn x^3+ax+b=0, then eqn whose one of the roots is 2p is?
one month ago

Answers : (1)

Arun
21951 Points
							
It is given that, p+i q , is one of the roots of the equation 
       x³+ a x +b=0
This is a cubic equation.So, it has three roots.
As,Imaginary root occur in pairs.
 So, if , p + i q,is one root of the equation , then , p - i q, will be another root.It is given that third Root is equal to 2 p.
For, any Cubic equation of the form
   
If, u,v and w are roots of the equation
    
Then, ⇒⇒p+i q + p- i q + 2 p=0
         4 p=0
p=0
or
Also,⇒ (p +i q)(p-i q)×2 p= -b 
⇒(p²+q²)×2 p= -b
⇒2 p³+2 p q² + b=0
or
⇒(p+ i q)× (p -i q) + 2 p× ( p + i q)+2 p×(p- i q)=a
⇒p²+q²+2 p²+2 p i q+2 p² -2 p i q=a
⇒ 5 p² +q²-a=0
 
 
one month ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies


Course Features

  • 731 Video Lectures
  • Revision Notes
  • Previous Year Papers
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Test paper with Video Solution


Course Features

  • 101 Video Lectures
  • Revision Notes
  • Test paper with Video Solution
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Previous Year Exam Questions


Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!! Click Here for details