 ×     #### Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Click to Chat

1800-1023-196

+91-120-4616500

CART 0

• 0

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
```
a,b are positive real numbers if a2+b2+22 and a4+b4=386 find the value of(a3+b3)

```
6 years ago

```							soln:a^2 + b^2 = 22 (given)..................(1)a^4 + b^4 = 386 (given)..................(2){a^2 + b^2 }^2= 484 (from eqn 1)a^4 + b^4 + 2 a^2 b^2 = 484386 + 2 a^2 b^2 = 484a^2 b^2 = 49ab = 7now..(a+b)^2 = a^2 + b^2 + 2ab(a+b)^2 = 22 + 2*7a+b = 6................ (3)a^3 + b^3 = (a+b)(a^2 - ab + b^2)a^3 + b^3 = 6 *(22 - 7)a^3 + b^3= 6 * (15)a^3 + b^3= 90Thanks and Regards,Ajay verma,askIITians faculty,IIT HYDERABAD
```
6 years ago
Think You Can Provide A Better Answer ?

## Other Related Questions on Algebra

View all Questions »  ### 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