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
swati shrivastav Grade: 12
        

The quadratic equations x2 - 6x + a = 0 and x2 - cx + 6 = 0 have one root in common. The other roots of the first and second equations are integers in the ratio 4 : 3. Then what is the common root?

8 years ago

Answers : (1)

ronit bhatiya
14 Points
										

Let α and β are roots of: x2 - 6x + a = 0

Let α and γ are roots of: x2 - cx + 6 = 0

So, α + β = 6 ........ (i)

α.β = a ........ (ii)


α + γ = c ........ (iii)

α.γ = 6 ........ (iv)


β/γ = 4/3 ........ (v)


Now using (ii) and (iii)

α.β/α.γ = a/6

=> β/γ = a/6

=> using (v), 4/3 = a/6

=> So, a = 8


Now , x2 - 6x + a = 0

x2 - 6x + 8 = 0

x = 2 OR 6

As α.β = 8

So α = 2

8 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
Get extra R 3,000 off
USE CODE: CART20
Get extra R 440 off
USE CODE: CART20

Ask Experts

Have any Question? Ask Experts

Post Question

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