#Stuck at this for 2 days

20 messages · Page 1 of 1 (latest)

finite path
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Hello folks first of all this is not a homework question it's just something I'm tryna solve for fun but I couldn't solve it
The question is:
Knowing that (x³+1)/(x²-1)=x+square root of 6/x
What is the value of x+1/x?
Thx in advance

velvet pikeBOT
peak trout
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For the $\frac{x^3+1}{x^2-1}$ factor a $x+1$ out of it

finite path
peak trout
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What will the fraction become?

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Wait sorry i made a misclick I meant factor a x+1 out of it

strange monolithBOT
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Ryanstaal2006

713803803291287654.png
finite path
peak trout
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Yes

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Now move the x from the RHS to the LHS and make the LHS 1 fraction

finite path
peak trout
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Yes

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Now you square both sides and cross multiply to get the fractions out of the way

finite path
peak trout
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Then you can move some things around to obtain a qiadratic in x and solve it with the quadratic formula

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The final answer will be ||x+1/x=13/6||

finite path
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I got it right thanks

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U made my day

peak trout
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Np

finite path
# peak trout Np

Hello there sorry for the ping but when I've shown the solution to my teacher( I do this to make sure it's a good answer) he told me that there's another BETTER solution to determine the value of x+1/x directly without calculating the value of x. Do you know something about it?