Question

1. (If X+ 1/x) = 10/3
then the value of
(x-1/x)^2 is
​

Answer 1

Answer:

x +1/x=10/3 (LCM= x)

⇒x² +1=10x/3

⇒3x² -10x +3=0

⇒3x² - x -9x +3

⇒x(3x-1) -3(3x-1)

After factorising, you get x=3/ x=1/3

Substituting 3 in x³ + 1/ x³

⇒(3)³ -1/(3)³

⇒27 -1/27 = 729 -1/27

⇒728/27

Substituting 1/3

⇒(1/3)³ -(1/1/3)³

⇒1/27 -  27

⇒1-729/27

=-728/27

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