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Question-218055




Question Number 218055 by ArshadS last updated on 27/Mar/25
Commented by ArshadS last updated on 27/Mar/25
Solve
$${Solve} \\ $$
Answered by Frix last updated on 27/Mar/25
(x−3)^(2/3) (x−7)=3  No easy solution  x^5 −27x^4 +282x^3 −1414x^2 +3381x−3114=0  x≈8.02286901
$$\left({x}−\mathrm{3}\right)^{\frac{\mathrm{2}}{\mathrm{3}}} \left({x}−\mathrm{7}\right)=\mathrm{3} \\ $$$$\mathrm{No}\:\mathrm{easy}\:\mathrm{solution} \\ $$$${x}^{\mathrm{5}} −\mathrm{27}{x}^{\mathrm{4}} +\mathrm{282}{x}^{\mathrm{3}} −\mathrm{1414}{x}^{\mathrm{2}} +\mathrm{3381}{x}−\mathrm{3114}=\mathrm{0} \\ $$$${x}\approx\mathrm{8}.\mathrm{02286901} \\ $$
Commented by ArshadS last updated on 28/Mar/25
Thanks sir!
$${Thanks}\:{sir}! \\ $$
Commented by MathematicalUser2357 last updated on 28/Mar/25
Commented by MathematicalUser2357 last updated on 28/Mar/25
got this result by putting that result (8.022869007543298):
$$\mathrm{got}\:\mathrm{this}\:\mathrm{result}\:\mathrm{by}\:\mathrm{putting}\:\mathrm{that}\:\mathrm{result}\:\left(\mathrm{8}.\mathrm{022869007543298}\right): \\ $$$$\: \\ $$

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