Question and Answers Forum

All Questions      Topic List

Algebra Questions

Previous in All Question      Next in All Question      

Previous in Algebra      Next in Algebra      

Question Number 171921 by Mikenice last updated on 21/Jun/22

(((x^2 −9))^(1/3) /( ((x+3))^(1/3) ))=3, find x

$$\frac{\sqrt[{\mathrm{3}}]{{x}^{\mathrm{2}} −\mathrm{9}}}{\:\sqrt[{\mathrm{3}}]{{x}+\mathrm{3}}}=\mathrm{3},\:{find}\:{x} \\ $$

Answered by FelipeLz last updated on 22/Jun/22

(((x^2 −9))^(1/3) /( ((x+3))^(1/3) )) = 3  ((x^2 −9)/( x+3)) = 3^3   (((x+3)(x−3))/( x+3)) = 27  x−3 = 27  x = 30

$$\frac{\sqrt[{\mathrm{3}}]{{x}^{\mathrm{2}} −\mathrm{9}}}{\:\sqrt[{\mathrm{3}}]{{x}+\mathrm{3}}}\:=\:\mathrm{3} \\ $$$$\frac{{x}^{\mathrm{2}} −\mathrm{9}}{\:{x}+\mathrm{3}}\:=\:\mathrm{3}^{\mathrm{3}} \\ $$$$\frac{\left({x}+\mathrm{3}\right)\left({x}−\mathrm{3}\right)}{\:{x}+\mathrm{3}}\:=\:\mathrm{27} \\ $$$${x}−\mathrm{3}\:=\:\mathrm{27} \\ $$$${x}\:=\:\mathrm{30} \\ $$

Commented by otchereabdullai@gmail.com last updated on 22/Jun/22

nice!

$$\mathrm{nice}! \\ $$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com