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Solve-3x-x-1-3x-x-1-8-




Question Number 93470 by I want to learn more last updated on 13/May/20
Solve:    3x^(x  +  1)   −  3x^(x  −  1)    =    8
$$\boldsymbol{\mathrm{Solve}}:\:\:\:\:\mathrm{3}\boldsymbol{\mathrm{x}}^{\boldsymbol{\mathrm{x}}\:\:+\:\:\mathrm{1}} \:\:−\:\:\mathrm{3}\boldsymbol{\mathrm{x}}^{\boldsymbol{\mathrm{x}}\:\:−\:\:\mathrm{1}} \:\:\:=\:\:\:\:\mathrm{8} \\ $$
Commented by i jagooll last updated on 13/May/20
aproximate  x≈ 1.6901049597962
$$\mathrm{aproximate} \\ $$$$\mathrm{x}\approx\:\mathrm{1}.\mathrm{6901049597962} \\ $$
Commented by I want to learn more last updated on 13/May/20
Is there any workings sir?
$$\mathrm{Is}\:\mathrm{there}\:\mathrm{any}\:\mathrm{workings}\:\mathrm{sir}? \\ $$
Commented by john santu last updated on 13/May/20
Commented by john santu last updated on 13/May/20
sir jagool is correct
$$\mathrm{sir}\:\mathrm{jagool}\:\mathrm{is}\:\mathrm{correct}\: \\ $$
Answered by Rasheed.Sindhi last updated on 13/May/20
   3x^(x  +  1)   −  3x^(x  −  1)    =    8     3x^(x  ) ×x  −  3x^(x ) /x   =    8  Sorry for mistake     9x^(x  )  −  x^(x )    =    8      8x^(x )    =    8      x^(x )    =    1      x^     =    1 (∵ 1^1 =1)
$$\:\:\:\mathrm{3}\boldsymbol{\mathrm{x}}^{\boldsymbol{\mathrm{x}}\:\:+\:\:\mathrm{1}} \:\:−\:\:\mathrm{3}\boldsymbol{\mathrm{x}}^{\boldsymbol{\mathrm{x}}\:\:−\:\:\mathrm{1}} \:\:\:=\:\:\:\:\mathrm{8} \\ $$$$\:\:\:\mathrm{3}\boldsymbol{\mathrm{x}}^{\boldsymbol{\mathrm{x}}\:\:} ×{x}\:\:−\:\:\mathrm{3}\boldsymbol{\mathrm{x}}^{\boldsymbol{\mathrm{x}}\:} /{x}\:\:\:=\:\:\:\:\mathrm{8} \\ $$$${Sorry}\:{for}\:{mistake} \\ $$$$\:\:\:\mathrm{9}\boldsymbol{\mathrm{x}}^{\boldsymbol{\mathrm{x}}\:\:} \:−\:\:\boldsymbol{\mathrm{x}}^{\boldsymbol{\mathrm{x}}\:} \:\:\:=\:\:\:\:\mathrm{8} \\ $$$$\:\:\:\:\mathrm{8}\boldsymbol{\mathrm{x}}^{\boldsymbol{\mathrm{x}}\:} \:\:\:=\:\:\:\:\mathrm{8} \\ $$$$\:\:\:\:\boldsymbol{\mathrm{x}}^{\boldsymbol{\mathrm{x}}\:} \:\:\:=\:\:\:\:\mathrm{1} \\ $$$$\:\:\:\:\boldsymbol{\mathrm{x}}^{\:} \:\:\:=\:\:\:\:\mathrm{1}\:\left(\because\:\mathrm{1}^{\mathrm{1}} =\mathrm{1}\right) \\ $$$$\:\:\:\:\:\:\:\:\: \\ $$
Commented by i jagooll last updated on 13/May/20
?? if x =1 ⇒3.1^2 −3.1^0  = 8 ??  why ? sir
$$??\:\mathrm{if}\:\mathrm{x}\:=\mathrm{1}\:\Rightarrow\mathrm{3}.\mathrm{1}^{\mathrm{2}} −\mathrm{3}.\mathrm{1}^{\mathrm{0}} \:=\:\mathrm{8}\:?? \\ $$$$\mathrm{why}\:?\:\mathrm{sir} \\ $$
Commented by Rasheed.Sindhi last updated on 13/May/20
Sorry for mistake.
$${Sorry}\:{for}\:{mistake}. \\ $$

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