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
Vishrant Vasavada Grade: 11
        

If x3/4(log3X)^2 + log3X - 5/4 = root 3. then x has


a) one negative integral value


b) two irrational value


c) two positive rational value


d) none of these

7 years ago

Answers : (1)

pratham ashish
9 Points
										Hi,


just take the log base 3 of both side and put log(x)to the base 3 = some t

now the eqn will
=> {3/4(t)^2 +t - 5/4}t =1/2

by putng 0 & 1 u'll cm to now that one root is one

then rearrange the eqn like 3(t)^3 +4(t)^2 -5t -2 =0

now 1 is a root then divide it by (t-1) u'll get:

3(t)^2+7t+2=0
=> (3t+1)(t+2)=0
=> t = -2 , -1/3
=> x = (3)^1, (3)^-2 ,(3)^-1/3
=> x= 3, 1/9, 1/cube root of(3)

3 & 1/9 r rational & +ve but -2 is _ve integral value

Hence option a) & c) r correct

hav gd lk
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
Get extra R 2,500 off
USE CODE: SSP11
Get extra R 2,200 off
USE CODE: SSP11

Ask Experts

Have any Question? Ask Experts

Post Question

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