Question

if (x2+1)/x =10/3 find x-1/x AND x3-1/x3​

Answer 1

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

Answer 2

Step-by-step explanation:

1.-3/4

2.4