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sudarshan gupta Grade: Upto college level
        

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

7 years ago

Answers : (1)

askIITiansexpert nagesh
16 Points
										

 


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.


 


 

7 years ago
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