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