MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: R

There are no items in this cart.
Continue Shopping
Menu
gopal nair Grade: 12
        

Sir,


For 2 Quadratic Equations what is the difference between the conditions when both have one and only one root in common and when both have atleast one root in common?Could you explain with suitable example and illustration?

7 years ago

Answers : (1)

Askiitian.Expert Rajat
24 Points
										

If we take two quadtratic equations:


ax2 + bx + c = 0


and


mx2+ nx + p = 0


Case I : Only One Common root


In this case Let that common root be ¥


Then


2 + b¥ + c = 0


and


2+ n¥ + p = 0


Now add the two equations to get another quadratic equation:


(a+m)¥2 + (b+n)¥ + c+p = 0


Replace ¥ by x


(a+m)x2 + (b+n)x + c+p = 0.     Now this quadratic has only ine root


That means


D = 0


Or,


(b+n)2 -4(a+m)(c+p) = 0


Case II : Atleast One common root:


Here D of [(a+m)x2 + (b+n)x + c+p = 0. ]


D>=0


or


(b+n)2 -4(a+m)(c+p) >=0

7 years ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies
  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: R 15,000
  • View Details

Ask Experts

Have any Question? Ask Experts

Post Question

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