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 190027 by Shrinava last updated on 26/Mar/23

$${\mathrm{a}}^2+{\mathrm{b}}^2=12$$$$\mathrm{ab}=4$$$$\mathrm{Fund}:{\mathrm{a}}^3+{\mathrm{b}}^3=?$$

Answered by SEKRET last updated on 26/Mar/23

$${}_{}+\{\begin{array}{l}{\mathit{a}}^2+{\mathit{b}}^2=12\\ 2\mathit{a}\mathit{b}=8\end{array}$$$${(\mathit{a}+\mathit{b})}^2=20$$$$\mathit{a}+\mathit{b}=\mp 2\sqrt{5}$$$${\mathbf{a}}^3+{\mathbf{b}}^3+3\mathbf{ab}(\mathbf{a}+\mathbf{b})={(\mp 2\sqrt{5})}^3$$$${\mathbf{a}}^3+{\mathbf{b}}^3=-12\cdot (\mp 2\sqrt{5})\mp {\left(2\sqrt{5}\right)}^3$$$${\mathbf{a}}^3+{\mathbf{b}}^3=\mp 16\sqrt{5}$$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com