If (x^2+1)/x)^2 = 10/3 and x>1; find 1) x - 1/x 2) x^3 - 1/x^3
Answers
Answer:
Step-by-step explanation:
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
Step-by-step explanation:
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jolly13
jolly13
04.04.2018
Math
Primary School
+5 pts
Answered
If x^2+1/x=10/3,x>1 then find the value of x-1/x
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aakriti05
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Answer:
hope it helps
Step-by-step explanation:
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
Step-by-step explanation:
Brainly.in
What is your question?
1
jolly13
jolly13
04.04.2018
Math
Primary School
+5 pts
Answered
If x^2+1/x=10/3,x>1 then find the value of x-1/x
1
SEE ANSWER
ADD ANSWER
Log in to add comment
jolly13 is waiting for your help.
Add your answer and earn points.
Answer
2.5/5
3
aakriti05
Ace
676 answers
12.8K people helped
Answer:
hope it helps
Step-by-step explanation:
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