Category: Algebra

Question Number 98925 by ajfour last updated on 17/Jun/20 $$Ifthecurveshownbelowhasthe$$$$equation,y=(x-p)(x^3-bx-c)$$$$thenfindq/pintermsofbandc.$$ Commented by ajfour last updated on 17/Jun/20 Answered…

Question Number 164451 by Zaynal last updated on 17/Jan/22 $$\mathbf{How}\mathbf{do}\mathbf{you}\mathbf{all}\mathbf{to}\mathbf{prove}\mathbf{is}\mathbf{true}\mathbf{or}\mathbf{false}??;$$$$$$$$\mathit{P}\mathit{r}\mathit{o}\mathit{v}\mathit{e}\mathit{t}\mathit{h}\mathit{e}:$$$$\:\frac{\mathrm{1}}{\mathrm{1}+\boldsymbol{\mathrm{p}}+\boldsymbol{\mathrm{p}}^{\mathrm{2}} +\boldsymbol{\mathrm{p}}^{\mathrm{3}} }\:+\:\frac{\mathrm{1}}{\mathrm{1}+\boldsymbol{{q}}+\boldsymbol{{q}}^{\mathrm{2}} +\boldsymbol{{q}}^{\mathrm{3}} }\:+\:\frac{\mathrm{1}}{\mathrm{1}+\boldsymbol{{r}}+\boldsymbol{{r}}^{\mathrm{2}} +\boldsymbol{{r}}^{\mathrm{3}} }\:+\:\frac{\mathrm{1}}{\mathrm{1}+\boldsymbol{{s}}+\boldsymbol{{s}}^{\mathrm{2}} +\boldsymbol{{s}}^{\mathrm{3}\:} }\:\geqslant\:\mathrm{1} \…

Question Number 164445 by mathlove last updated on 17/Jan/22 Commented by mr W last updated on 17/Jan/22 $$i{don}^{\prime }tthinkthereisanicesolution.$$$$onecanonlyapproximate.$$$$x=2-t$$$${y}=\mathrm{2}+{t} \…

Question Number 164429 by malwan last updated on 17/Jan/22 $$IfC(2x,x)=70$$$$provethatx=4$$ Answered by alephzero last updated on 17/Jan/22 $${C}_{{x}} ^{\mathrm{2}{x}} \:=\:\mathrm{70} \…

Question Number 164417 by HongKing last updated on 16/Jan/22 Answered by Rasheed.Sindhi last updated on 17/Jan/22 $$y=4x-3$$$$\sqrt{x^2+y^2+6y+9}+\sqrt{x^2+y^2-2x-2y+2}$$$$=\sqrt{{x}^{\mathrm{2}}…