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: 9
        
If 
a + b + c = 1
a2 + b2 + c2 = 2
a3 + b3 + c3 = 3
Then Find,
a4 + b4 + c4 and a5 + b5 +c?
 
7 months ago

Answers : (1)

Arun
12342 Points
							

If a+b+c=1,a2+b2+c2=2,a3+b3+c3=3 then find the value of a4+b4+c4=?

we know

2(ab+bc+ca)=(a+b+c)2(a2+b2+c2)

2(ab+bc+ca)=122=1

ab+bc+ca=12

given

a3+b3+c3=3

a3+b3+c33abc+3abc=3

(a+b+c)(a2+b2+c2abbcca)+3abc=3

(a+b+c)(a2+b2+c2(ab+bc+ca)+3abc=3

(1×(2(12)+3abc))=3

(2+12)+3abc=3

3abc=352=12

abc=16

Now

(a2b2+b2c2+c2a2)

=(ab+bc+ca)22ab2c2bc2a2ca2b

=(ab+bc+ca)22abc(b+c+a)

=(12)22×16×1=1413=112

Now

a4+b4+c4

=(a2+b2+c2)22(a2b2+b2c2+c2a2)

=222×(112)

=4+16=416

7 months ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies

Get Extra Rs. 1,590 off

COUPON CODE: SELF10


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

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


Get Extra Rs. 64 off

COUPON CODE: SELF10

Ask Experts

Have any Question? Ask Experts

Post Question

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