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Question-172532




Question Number 172532 by Mikenice last updated on 28/Jun/22
Answered by MJS_new last updated on 28/Jun/22
x_1 ≈−4.24290  x_2 ≈.0593074  x_3 =3
$${x}_{\mathrm{1}} \approx−\mathrm{4}.\mathrm{24290} \\ $$$${x}_{\mathrm{2}} \approx.\mathrm{0593074} \\ $$$${x}_{\mathrm{3}} =\mathrm{3} \\ $$
Commented by Mikenice last updated on 28/Jun/22
please show the workings
$${please}\:{show}\:{the}\:{workings} \\ $$
Answered by Rasheed.Sindhi last updated on 28/Jun/22
x^3 +3^x =18x  Solving for whole x  3∣18x⇒3∣(x^3 +3^x )⇒3∣x......(i)  x∣18x⇒x∣(x^3 +3^x )⇒x∣3.....(ii)  From (i) & (ii):  x=3
$${x}^{\mathrm{3}} +\mathrm{3}^{{x}} =\mathrm{18}{x} \\ $$$${Solving}\:{for}\:\boldsymbol{{whole}}\:{x} \\ $$$$\mathrm{3}\mid\mathrm{18}{x}\Rightarrow\mathrm{3}\mid\left({x}^{\mathrm{3}} +\mathrm{3}^{{x}} \right)\Rightarrow\mathrm{3}\mid{x}……\left({i}\right) \\ $$$${x}\mid\mathrm{18}{x}\Rightarrow{x}\mid\left({x}^{\mathrm{3}} +\mathrm{3}^{{x}} \right)\Rightarrow{x}\mid\mathrm{3}…..\left({ii}\right) \\ $$$${From}\:\left({i}\right)\:\&\:\left({ii}\right):\:\:{x}=\mathrm{3} \\ $$

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