dtan5457
  • dtan5457
If x+1/x=7, compute x^3+1/x^2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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dtan5457
  • dtan5457
So far I have x^2+1=7x x^2=7x-1 x^3+1/7x-1 x^2x/(1)+1/(7x-1) when I cross out 7x-1 i get x+1. then what?
dtan5457
  • dtan5457
@Hero
Hero
  • Hero
Hang on a min.

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More answers

dtan5457
  • dtan5457
okay thanks
Hero
  • Hero
( x+1)/x=7 multiply both sides by × x +1 =7x Subtract × from both sides 1=6x x= 1/6
Hero
  • Hero
Plug × to other expression
dtan5457
  • dtan5457
wait so all my x^2+1=7x was incorrect?
Hero
  • Hero
. Is the original problem you posted correct as written?
dtan5457
  • dtan5457
\[x+\frac{ 1 }{ x }=7, x^3+\frac{ 1 }{ x^2 }=?\]
Hero
  • Hero
± see, Better you use later to post from now on.
Hero
  • Hero
latex *
dtan5457
  • dtan5457
okay
dtan5457
  • dtan5457
so does your solution still stand?
dtan5457
  • dtan5457
@jdoe0001
Hero
  • Hero
No, it doesn't
dtan5457
  • dtan5457
any ideas?
Hero
  • Hero
Calculate ( x +1/ x ) ^ 2 and (x+1 / x ) ^ 3 )
dtan5457
  • dtan5457
i dont get it sorry
dtan5457
  • dtan5457
one of my friends even said its unsolvable without quadratic formula but im pretty sure my teacher doesnt want a quadratic use
Hero
  • Hero
( x + 1 / x ) ^ 2 = 7^2
Hero
  • Hero
If you don't get that I can't help you
Hero
  • Hero
Expand the left side
dtan5457
  • dtan5457
\[x^2+\frac{ 1 }{ x^2 }+x+\frac{ 1 }{ x^2 }\]
Hero
  • Hero
That's not what I got
dtan5457
  • dtan5457
lol i give up, i'll ask my teacher tomorrow. thanks
Hero
  • Hero
You give up too easy.
dtan5457
  • dtan5457
Been working on 4 problems for about 2 hours, it's time too move on if I want decently sufficient sleep. I've been getting mixed answers and solutions so I'll just let my teacher explain.
dtan5457
  • dtan5457
it can be solved with the quadratic formula so I just used that. Not sure if that's what my teacher wants but i'll see.
Hero
  • Hero
Nope, it probably isn't. There's another way to solve that your teacher may be looking for.

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