Question

if the X + 1/ x = 3 then find the value of x -1/ X​

Answer 1

DEAR STUDENT

HERE IS YOUR ANSWER

X + 1/X = 3

TAKING LCM WE GET

=> X^2 + 1

----------- = 3

X

=> TAKING X ON RHS

=> X^2 + 1 = 3X

=> X^2 - 3X + 1 = 0

from here we get two values of X as

X = 3 _+ (ROOT5)

---------------------...

2

NOW WE HAVE TO FIND THE VALUE OF

X^2 - 1

----------

X

SO X^2 = 14 + 6×(ROOT5)

X = 3 + (ROOT5)

------------------

2

=> X - 1/X = {13 + 6(ROOT5)} ×2

---------------------------

3 + (ROOT5)

similarly you can find the second value by putting x = 3-(ROOT5)

----------------.....

2

HOPE YOU UNDERSTAND .....

MARK IT AS THE BRAINLIEST ........