Category: Algebra

Question Number 63383 by minh2001 last updated on 03/Jul/19 $$solvethisequationinall$$$$partofcomplexnumber:$$$$\sqrt{(x^9-3x^2+1)(x-6)+4}=(x^9-3x^2+1)(x-6)-16$$ Commented by MJS last updated…

Question Number 128903 by Engr_Jidda last updated on 11/Jan/21 $$solvethedifferentialequation$$$$\frac{{dy}^2}{{dx}^2}+y=0$$ Answered by mindispower last updated on 11/Jan/21 $${X}^{\mathrm{2}} +\mathrm{1}=\mathrm{0}\Rightarrow{X}\in\left\{{i},−{i}\right\}…

Question Number 63291 by aliesam last updated on 02/Jul/19 $$findsomeofallrealxsuchthat$$$$$$$$\frac{4x^2+15x+17}{x^2+4x+12}=\frac{5x^2+16x+18}{2x^2+5x+13}$$ Commented by Prithwish sen last…

Question Number 63247 by Joel122 last updated on 01/Jul/19 $$\mathrm{Prove}\mathrm{that}$$$$\sqrt{abc}+\sqrt{(1-a)(1-b)(1-c)}⩽1$$$$\mathrm{for}0⩽a,b,c⩽1$$ Commented by Tony Lin last updated on 01/Jul/19 $$\because\:{abc}+\left(\mathrm{1}−{a}\right)\left(\mathrm{1}−{b}\right)\left(\mathrm{1}−{c}\right)\geqslant…

Question Number 128712 by Study last updated on 09/Jan/21 $$ifP(x-1)=2x^3\cdot Q\left(x\right)+x^2$$$$find\frac{P\left(1\right)-4}{Q\left(x\right)}=??$$ Commented by Adel last updated on 13/Jan/21 $$\mathrm{p}\left(\mathrm{1}\right)=\boldsymbol{\mathrm{p}}\left(\mathrm{2}−\mathrm{1}\right)=\mathrm{2}×\mathrm{2}^{\mathrm{3}} ×\boldsymbol{\mathrm{Q}}\left(\mathrm{x}\right)+\mathrm{2}^{\mathrm{2}} \…