Category: Algebra

Question Number 62234 by aliesam last updated on 18/Jun/19 Answered by tanmay last updated on 18/Jun/19 $$9(x+y)=(x+y)(x^2-xy+y^2)$$$$(x+y)(9-x^2+xy-y^2)=0$$$${eithdr}\:{x}+{y}=\mathrm{0}\:\:\:{or}\:{x}^{\mathrm{2}}…

Question Number 62211 by Tony Lin last updated on 18/Jun/19 $$\frac{x}{\sqrt{4-x^2}+3}Max=\frac{5}{3}?$$ Commented by MJS last updated on 17/Jun/19 $$\mathrm{what}\mathrm{does}\mathrm{this}\mathrm{mean}?$$ Commented…

Question Number 127743 by arash sharifi last updated on 01/Jan/21 $$dx+ydy=x^{2}ydy$$ Commented by mr W last updated on 01/Jan/21 $$youhaveaskedthesamequestion$$$${before}\:{and}\:{it}\:{was}\:{answered}!…

Question Number 127716 by liberty last updated on 01/Jan/21 $$\mathrm{Let}\mathrm{p}\mathrm{and}\mathrm{q}\mathrm{be}\mathrm{two}\mathrm{positive}\mathrm{real}\mathrm{number}$$$$\mathrm{such}\mathrm{that}\{\begin{array}{l}\mathrm{p}\sqrt{\mathrm{p}}+\mathrm{q}\sqrt{\mathrm{q}}=32\\ \mathrm{p}\sqrt{\mathrm{q}}+\mathrm{q}\sqrt{\mathrm{p}}=31\end{array}$$$$\mathrm{find}\mathrm{the}\mathrm{value}\mathrm{of}\frac{5(\mathrm{p}+\mathrm{q})?}{7}$$ Answered by mindispower last updated on 01/Jan/21 $$\left(\sqrt{{p}}+\sqrt{{q}}\right)^{\mathrm{3}} ={p}\sqrt{{p}}+{q}\sqrt{{q}}+\mathrm{3}\left({p}\sqrt{{q}}+{p}\sqrt{{q}}\right)=\mathrm{32}+\mathrm{3}.\mathrm{31}=\mathrm{125}…

Question Number 127706 by arash sharifi last updated on 01/Jan/21 $$dx+ydy=x^{2}ydy$$ Answered by liberty last updated on 01/Jan/21 $$\mathrm{dx}=\mathrm{y}({\mathrm{x}}^2-1)\mathrm{dy}$$$$\:\frac{\mathrm{dx}}{\mathrm{x}^{\mathrm{2}}…