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 121590 by pooooop last updated on 09/Nov/20

$${\mathit{x}}^2+2\mathit{x}=8\sqrt{6}$$$$2\mathit{x}-\frac{12}{\mathit{x}}=?$$

Answered by mathmax by abdo last updated on 09/Nov/20

$${\mathrm{x}}^2+2\mathrm{x}=8\sqrt{6}\Rightarrow {\mathrm{x}}^2+2\mathrm{x}-8\sqrt{6}=0$$$${\mathrm{\Delta }}^{{}^{\prime }}=1+8\sqrt{6}\Rightarrow {\mathrm{x}}_1=-1+\sqrt{1+8\sqrt{6}}\mathrm{and}{\mathrm{x}}_2=-1-\sqrt{1+8\sqrt{6}}\Rightarrow$$$$2\mathrm{x}-\frac{12}{\mathrm{x}}=2(-1\stackrel{-}{+}\sqrt{1+8\sqrt{6}})-\frac{12}{-1\stackrel{+}{+}\sqrt{1+8\sqrt{6}}}$$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com