badge image

Enroll For Free Now & Improve Your Performance.

×
User Icon
User Icon
User Icon
User Icon
User Icon

Thank you for registering.

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

Please check your email for login details.
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: 12

                        

The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find the two numbers.

The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find the two numbers.
 

3 months ago

Answers : (1)

Anand Kumar Pandey
askIITians Faculty
3071 Points
							Dear Student

Let us say, the larger and smaller number bexandyrespectively. As per the question given,
x^2-y^2= 180
andy^2= 8x
⇒x^2- 8x= 180

⇒x^2- 8x- 180 = 0
⇒x^2- 18x+ 10x- 180 = 0
⇒x(x- 18) +10(x- 18) = 0
⇒(x- 18)(x+ 10) = 0
⇒x= 18, -10

However, the larger number cannot considered as negative number, as 8 times of the larger number will be negative and hence, the square of the smaller number will be negative which is not possible.
Therefore, the larger number will be 18 only.
x= 18

∴y^2= 8x = 8 × 18 = 144
⇒y= ±√144 = ±12
∴Smaller number = ±12
Therefore, the numbers are 18 and 12 or 18 and -12.

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


Course Features

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


Course Features

  • 731 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