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
deepikA thotlavalluri Grade: 11
        

if (x2 -5x+3)(y2 +y+1)<2y for all y belongs to the set of real numbers,then set of all values of x is

7 years ago

Answers : (1)

mycroft holmes
266 Points
										

Since y2+y+1 is always positive, we can divide by this quantity on both sides to get the inequality


 


x2 - 5x + 3 < 2y/(y2+y+1) or equivalently x2 - 5x + 3 < 2/(y+1/y+1)


 


When y is non-negative, min val of RHS is zero.


 


If y<0 then y + 1/y <=-2 so, y+1/y+1 <=-1 and hence RHS >=-2.


 


Hence we need x2 - 5x + 3<-2 or x2 - 5x + 5<0 which is easy to solve


?
7 years ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies
  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: Rs. 15,900
  • View Details

Ask Experts

Have any Question? Ask Experts

Post Question

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