Category: Algebra

Question Number 11009 by Joel576 last updated on 06/Mar/17 $$\mathrm{If}{x}^3=y^3$$$$\mathrm{Is}\mathrm{it}\mathrm{always}\mathrm{true}\mathrm{that}x=y?$$ Answered by mrW1 last updated on 06/Mar/17 $${yes}.\:{function}\:{f}\left({x}\right)={x}^{\mathrm{3}} \:{is}\:{unique}. \…

Question Number 76531 by benjo 1/2 santuyy last updated on 28/Dec/19 $$whatisaandbsuchthata+b=a\times b$$$$anda+b=a/b?$$ Commented by MJS last updated on 28/Dec/19 $$\left(\mathrm{1}\right)\:{a}+{b}={ab}\:\Rightarrow\:{a}=\frac{{b}}{{b}−\mathrm{1}}\:\Rightarrow\:{b}\neq\mathrm{1} \…

Question Number 142036 by mathsuji last updated on 25/May/21 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 142025 by mnjuly1970 last updated on 25/May/21 Answered by som(math1967) last updated on 25/May/21 $${(\mathit{a}+\mathit{b}+\mathit{c})}^2=1$$$$2(\mathit{a}\mathit{b}+\mathit{b}\mathit{c}+\mathit{c}\mathit{a})=1-2$$$$\mathit{a}\mathit{b}+\mathit{b}\mathit{c}+\mathit{c}\mathit{a}=-\frac{1}{2}$$$$\boldsymbol{{a}}^{\mathrm{3}} +\boldsymbol{{b}}^{\mathrm{3}}…

Question Number 10933 by Joel576 last updated on 02/Mar/17 $$\mathrm{If}p\mathrm{and}q\mathrm{are}\mathrm{the}\mathrm{roots}\mathrm{for}\mathrm{the}$$$$x^2-(a+1)x+(-a-\frac{5}{2})=0$$$$\mathrm{The}\mathrm{minimum}\mathrm{value}\mathrm{of}{p}^2+q^2\mathrm{is}\dots$$ Answered by ridwan balatif last updated…