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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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