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
        
If a,b,c € R, a not equals to 0 and the quadratic equation,ax+ bx + C = 0 has no real root, then show that a(a+b+c)>0
2 months ago

Answers : (1)

Aditya Gupta
1236 Points
							
this is an easy ques based on graph of a quadratic function.
assume that a is positive.
then the graph of y= f(x)= ax+ bx + c would be above the x axis since it has no real root.
so f(1) is greater than zero.
but f(1)= a+b+c
so a+b+c is greater than zero.
so a(a+b+c) is greater than zero.
now assume that a is less than zero. 
then the graph of y= f(x)= ax+ bx + c would be below the x axis since it has no real root.
so f(1) is less than zero.
so a+b+c is less than zero.
so a(a+b+c) is greater than zero.
2 months 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

  • 51 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