anonymous
  • anonymous
2(x-1)^3=x+1
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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lgbasallote
  • lgbasallote
hmm okay?
anonymous
  • anonymous
can u solve it?
anonymous
  • anonymous
???

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lgbasallote
  • lgbasallote
solve for x?
anonymous
  • anonymous
yeah
lgbasallote
  • lgbasallote
here's my thought let x - 1 = a therefore a +1 = x 2a^3 = a + 1 + 1 2a^3 = a + 2 2a^3 - a - 2 = 0 does that give you any ideas?
anonymous
  • anonymous
2(x-1)^3=x+1 noo sorry not really can u tell me how to do it just by factoring etc?
lgbasallote
  • lgbasallote
lol that's what im thinking too
lgbasallote
  • lgbasallote
@myininaya pls help here
myininaya
  • myininaya
Hey @lgbasallote what was wrong with your way?
myininaya
  • myininaya
It seems to be awesome! :)
lgbasallote
  • lgbasallote
i don't know what to do next lol
myininaya
  • myininaya
Try doing a little of testing possible rational zeros for what you have
myininaya
  • myininaya
Synthetic division will come in handy
lgbasallote
  • lgbasallote
you heard her @louis413 ;)
anonymous
  • anonymous
lol im only in alg/trig in high schooll.. loll wut is that?
myininaya
  • myininaya
oh wait i think i made a mistake anyways... let me try again but yeah that is what i would do test to see if any possible rational zeros work
myininaya
  • myininaya
algebra/trig? which one?
anonymous
  • anonymous
well im takling the algebra2/trig course right now at summer school
myininaya
  • myininaya
synthetic division and looking at possible rational zeros are in algebra
myininaya
  • myininaya
ok so what have you learned then?
anonymous
  • anonymous
factoring... quadratic formula completeing the squares etc
myininaya
  • myininaya
And is your equation written correctly?
anonymous
  • anonymous
yes can it be solved like 2(x-1)^2(x-1)-1(X-1)=0
myininaya
  • myininaya
I can only see to find a real approximation by looking at the graph and seeing where it crosses the x-axis
shubhamsrg
  • shubhamsrg
would you like to go for a trignometric solution? might seem complicated but is easy.. involves inverse function just a bit..and sin 3x etc formullas ?
shubhamsrg
  • shubhamsrg
well.. in 2a^3 - a - 2 = 0 let a = m sin y => 2m^3 sin^3 y - msin y -2 =0 multiplying both sides by (-2/m^3) => -4sin^3 y + 2sin y/(m^2) + 4/(m^3) =0 our aim is to convert this in the form of -4sin^3 y + 3 siny which will convert it into sin 3y and simplify things we have to chose a particular value of m for that purpose in our case 2/m^2 = 3 or m = sqrt(3/2) and -sqrt(3/2) thus we have these 2 eqns : -4sin^3 y + 3sin y + 8sqrt(2)/(3sqrt(3)) = 0 and -4sin^3 y + 3sin y - 8sqrt(2)/(3sqrt(3)) = 0 => sin 3y = - 8sqrt(2)/(3sqrt(3)) and =>sin 3y = 8sqrt(2)/(3sqrt(3)) now using any scientific calculator, we may find value of y,then a(=msin y) and then finally x(=a+1)
shubhamsrg
  • shubhamsrg
hope i was able to explain well..

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