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

If a belong to R and equation -3(x-[x])^2+2(x-[x])+a^2 =0 has a no integral solution then find all possible values of a

If a belong to R and equation -3(x-[x])^2+2(x-[x])+a^2 =0 has a no integral solution then find all possible values of a
 

Grade:12th pass

1 Answers

Abhishek Singh
103 Points
8 days ago
Clearly x-[x] = {x} where {x} is the fractional part function. Now the given equation is quadratic in {x}
-3{x}^2+2{x}+a^2 = 0 
 
We know that if {x} = 0 ==> x is an integer 
Thus the solution has integer solution if {x}= 0 satifies the equation  ==> if -3*0^2+2*0+a^2 = 0 ==> if a= 0 
But it is given equation has no integral solution ==> a is not equal to zero 

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free