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

Find the number of values of x(x is real) for which 64 1/x +48 1/x =80 1/x

Find the number of values of x(x is real) for which 641/x+481/x=801/x

Grade:Upto college level

1 Answers

askIITiansexpert nagesh
16 Points
11 years ago

 

Given, 641/x+481/x = 801/x

Let y= 1/x

Then the equation is 64y+48y = 80y

Divide by 16y on both sides, we get

3y + 4y = 5y

It is of form

sinyz + cosyz =1,    where sinz=3/5,cosz=4/5

now above equality is true iff y=2, Since sinz≠0,±1

→ x=1/2

hence number of solutions is 1.

 

 

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